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Dissertations / Theses on the topic 'Do operator'

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Published: 9 March 2023

Last updated: 10 March 2023

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1

Charbonnel, Anne-Marie. "Contribution à l'étude du spectre conjoint de systèmes d'opérateurs pseudodifférentiels qui commutent." Nantes, 1989. http://www.theses.fr/1989NANT2012.

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On considere plusieurs operateurs pseudodifferentiels dependant d'un petit parametre h, commutant deux a deux, agissant sur l'espace a n dimensions. L'un d'eux peut etre, par exemple, l'operateur de schroedinger. Nous definissons la notion de "spectre conjoint" pour ces operateurs, et etudions le comportement asymptotique de ce dernier dans deux types de situation: 1) nous supposons h fixe et nous nous interessons aux gcrandes valeurs de l'energie; 2) nous fixons un niveau d'energie, et etudions le comportement semi-classique du spectre conjoint, c'est-a-dire pour h tendant vers 0. Dans les deux contextes, nous precisons les resultats dans le cas ou le systeme d'operateurs est integrable. Notre travail permet d'obtenir des resultats analogues a ceux que demontre y. Colin de verdiere pour des operateurs agissant sur une variete compacte, et generalise ceux de b. Helffer et d. Robert qui concernent un seul operateur sur l'espace tout entier

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2

Phanzu, Serge Phanzu. "Every Pure Quasinormal Operator Has a Supercyclic Adjoint." Bowling Green State University / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1592579020787873.

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3

Moussai, Madani. "Continuite de certains operateurs integraux singuliers sur les espaces de besov." Paris 7, 1987. http://www.theses.fr/1987PA077016.

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On s'interesse a des conditions necessaires et suffisantes de continuite-l**(2) (resp. Continuite - besov b**(s)::(p,q)), des commutateurs entre les operateurs pseudo-differentiels o. P. D. De type s**(11,a); a1 (resp. S**(11,0)), et les fonctions dont les gradients sont bornes (resp. Des multiplicateurs de besov m(b**(s)::(p,q))). La continuite - besov du commutateur a l'aide du critere de lemarie, mene a etudier la continuite des o. P. D. De type s**(01,0) sur m(b**(sp,q)): les o. P. D. D'ordre 0 sont bornes sur les versions "localisees l**(e") de b**(s)::(p,q), par consequent sur m(b**(s)::(p,p)) pour s>n/p. Si s <ou= n/p, on construit un contre-exemple

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4

Gustafsson, Tapper Michael. "Operator Feedback." Thesis, KTH, Maskinkonstruktion (Inst.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-232505.

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Det här är en rapport som sammanfattar ett examensarbete av studenten Michael GustafssonTapper skriven under våren 2018. Examensarbetet är en del av mastern Integreradproduktutveckling inom spåret Teknisk design på KTH, Kungliga Tekniska Högskolan iStockholm, Sverige. Dagens montörer i monteringsliner i fabriker får sin feedback från sinaverktyg men ibland missas denna information av montörerna. Det här examensarbetetresulterade i en vidareutveckling av ett tidigare projekt in kursen MF2016 Industriell design högrekurs, del 2. Resultatet var en lösning av ett par skyddsglasögon vid namn Protective SignalProvider eller PSP inom produktfamiljen Operator Feedback, OPF. PSP använde ljus från LEDlamporoch ljudvågor i form av vibrationer från benöverförande högtalare. En mer utförligundersökning gjordes också för att para den PSP med Atlas Copcos monteringssystem controllerPF6000. PSP använde sig av Bluetooth low energy för kommunikation och kan anslutas tillverktyget och till monteringens gränssnitt. En utvärdering jämförde den tidigare externaprodukten som kunde fästas på ett par skyddsglasögon med den nya produkten med integreradekomponenter. Utvärderingen resulterade i att den externa produkten skulle bli den bästalösningen för Atlas Copco att fortsätta med eftersom regleringar, lagar och standarder gör PSPför komplex att producera.<br>This report is a document summarizing a master thesis by the student Michael GustafssonTapper written during the spring of 2018. The thesis is the part of the master Integrated ProductDesign in the field of Industrial Design engineering at KTH, The Royal Institute of Technologyin Stockholm, Sweden. Today workers in assembly lines get feedback from their tools, butsometimes this transmitted information is missed by the worker. This thesis resulted in adevelopment of a previous project in the course MF2016 Industrial Design Engineering AdvancedCourse, Part 2. The result was a solution with a pair of safety glasses by the name Protective SignalProvider or PSP within the product family Operator Feedback, OPF. PSP used light of LEDsand soundwaves in form of vibration from bone conductive speakers. A more extensiveinvestigation was also done to pair PSP to Atlas Copco’s assembly system controller PF6000. ThePSP used Bluetooth low energy for communication and can be connected to the tool in use andthe interface of the assembly. An evaluation compared the previous external product that couldbe placed on a pair of safety glasses with the new internal product with integrated components.The evaluation resulted in the external product being the best solution for Atlas Copco toproceed with since regulations, laws and standards make PSP too complex to produce.

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5

Smith, Tabrina M. "Operator Ranges and Porosity." Kent State University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=kent1215466700.

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6

Mathew, Panakkal Jesu. "On Some Aspects of the Differential Operator." Digital Archive @ GSU, 2006. http://digitalarchive.gsu.edu/math_theses/12.

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The Differential Operator D is a linear operator from C1[0,1] onto C[0,1]. Its domain C1[0,1] is thoroughly studied as a meager subspace of C[0,1]. This is analogous to the status of the set of all rational numbers Q in the set of the real numbers R. On the polynomial vector space Pn the Differential Operator D is a nilpotent operator. Using the invariant subspace and reducing subspace technique an appropriate basis for the underlying vector space can be found so that the nilpotent operator admits its Jordan Canonical form. The study of D on Pn is completely carried out. Finally, the solution space V of the nth order differential equation with leading coefficient one is studied. The behavior of D on V is explored using some notions from linear algebra and linear operators. NOTE- Due to the limitation of the above being in "text only form" , further details of this abstract can be viewed in the pdf file.

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7

Matjila, D. M. "On a class of pseudo-differential operators in IRⁿ". Thesis, Rhodes University, 1988. http://hdl.handle.net/10962/d1001981.

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The class of pseudo-differential operators with symbols from Sm (superscript) po̧̧ (subscipt)(Ωx IRⁿ) has been extensively studied.The main assumption which characterises this class of symbols is that a(x,Ȩ) є Sm (superscript)po̧̧ (subscipt)(Ωx IRⁿ) should have a polynomial growth in the Ȩ variable only. The x-variable is controlled on compact subsets of Ω. A polynomial growth in both the x and Ȩ variables on a C°°(lR²ⁿ) function a(x,Ȩ) gives rise to a different class of symbols and a corresponding class of operators. In this work, such symbols and the action of the operators on the functional spaces S(lRⁿ) , S'(lRⁿ) and the Sobolev spaces Qs (superscript) (lRⁿ) (s є lRⁿ) are studied. A study of the calculus (i.e. transposes, adjoints and compositions) and the functional analysis of these operators is done with special attention to L-boundedness and compactness. The class of hypoelliptic pseudo-differential operators in IRⁿ is introduced as a subclass of those considered earlier.These operators possess the property that they allow a pseudo- inverse or parametrix. In conclusion. the spectral theory of these operators is considered. Since a general spectral theory would be beyond the scope of this work, only some special cases of the pseudo-differential operators in IRⁿ are considered. A few applications of this spectral theory are discussed

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8

Bian, Wenming. "Operator inclusions and operator-differential inclusions." Thesis, University of Glasgow, 1998. http://theses.gla.ac.uk/2029/.

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In Chapter 2, we first introduce a generalized inverse differentiability for set-valued mappings and consider some of its properties. Then, we use this differentiability, Ekeland's Variational Principle and some fixed point theorems to consider constrained implicit function and open mapping theorems and surjectivity problems of set-valued mappings. The mapping considered is of the form F(x, u) + G (x, u). The inverse derivative condition is only imposed on the mapping x F(x, u), and the mapping x G(x, u) is supposed to be Lipschitz. The constraint made to the variable x is a closed convex cone if x F(x, u) is only a closed mapping, and in case x F(x, u) is also Lipschitz, the constraint needs only to be a closed subset. We obtain some constrained implicit function theorems and open mapping theorems. Pseudo-Lipschitz property and surjectivity of the implicit functions are also obtained. As applications of the obtained results, we also consider both local constrained controllability of nonlinear systems and constrained global controllability of semilinear systems. The constraint made to the control is a time-dependent closed convex cone with possibly empty interior. Our results show that the controllability will be realized if some suitable associated linear systems are constrained controllable. In Chapter 3, without defining topological degree for set-valued mappings of monotone type, we consider the solvability of the operator inclusion y0 N1(x) + N2 (x) on bounded subsets in Banach spaces with N1 a demicontinuous set-valued mapping which is either of class (S+) or pseudo-monotone or quasi-monotone, and N2 is a set-valued quasi-monotone mapping. Conclusions similar to the invariance under admissible homotopy of topological degree are obtained. Some concrete existence results and applications to some boundary value problems, integral inclusions and controllability of a nonlinear system are also given. In Chapter 4, we will suppose u A (t,u) is a set-valued pseudo-monotone mapping and consider the evolution inclusions x' (t) + A(t,x((t)) f (t) a.e. and (d)/(dt) (Bx(t)) + A (t,x((t)) f(t) a.e. in an evolution triple (V,H,V*), as well as perturbation problems of those two inclusions.

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9

Tazi, Hemida Mohamed. "Regularite l**(p) maximale pour une classe d'operateurs a caracteristiques multiples." Rennes 1, 1988. http://www.theses.fr/1988REN10046.

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Il s'agit de regarder dans le 1er sujet la regularite l**(p) maximale pour une classe d'operateurs a characteristiques multiples. Dans le 2eme sujet, nous etudions l'hypoellipticite maximale d'un systeme d'operateurs pseudo-differentiels

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10

Huettenmueller, Rhonda. "The Pettis Integral and Operator Theory." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2844/.

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Let (Ω, Σ, µ) be a finite measure space and X, a Banach space with continuous dual X*. A scalarly measurable function f: Ω→X is Dunford integrable if for each x* X*, x*f L1(µ). Define the operator Tf. X* → L1(µ) by T(x*) = x*f. Then f is Pettis integrable if and only if this operator is weak*-to-weak continuous. This paper begins with an overview of this function. Work by Robert Huff and Gunnar Stefansson on the operator Tf motivates much of this paper. Conditions that make Tf weak*-to-weak continuous are generalized to weak*-toweak continuous operators on dual spaces. For instance, if Tf is weakly compact and if there exists a separable subspace D X such that for each x* X*, x*f = x*fχDµ-a.e, then f is Pettis integrable. This nation is generalized to bounded operators T: X* → Y. To say that T is determined by D means that if x*| D = 0, then T (x*) = 0. Determining subspaces are used to help prove certain facts about operators on dual spaces. Attention is given to finding determining subspaces far a given T: X* → Y. The kernel of T and the adjoint T* of T are used to construct determining subspaces for T. For example, if T*(Y*) ∩ X is weak* dense in T*(Y*), then T is determined by T*(Y*) ∩ X. Also if ker(T) is weak* closed in X*, then the annihilator of ker(T) (in X) is the unique minimal determining subspace for T.

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11

Browning, Brian L. "Time and frequency domain scattering for the one-dimensional wave equation /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5788.

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12

Krainer, Thomas. "The calculus of Volterra Mellin pseudodifferential operators with operator-valued symbols." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2618/.

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We introduce the calculus of Mellin pseudodifferential operators parameters based on "twisted" operator-valued Volterra symbols as well aas the abstract Mellin calclus with holomorphic symbols. We establish the properties of the symblic and operational calculi, and we give and make use of explicit oscillatory integral formulas on the symbolic side, e. g., for the Leibniz-product, kernel cut-off, and Mellin quantization. Moreover, we introduce the notion of parabolicity for the calculi of Volterra Mellin operators, and construct Volterra parametrices for parabolic operators within the calculi.

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13

Hermi, Lotfi. "On the spectrum of the Dirichlet Laplacian and other elliptic operators /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9953864.

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14

Monteillet, Aurélien. "Atomic Schrödinger Operator." Thesis, Uppsala University, Department of Mathematics, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-121420.

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15

Rasmussen, Nichlas. "Operator unit simulator." Thesis, Örebro universitet, Institutionen för naturvetenskap och teknik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-45676.

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Detta examensarbete utfördes som ett uppdrag av Atlas Copco där målet var att utveckla en programvara som kan simulera en OU (Operator Unit) i en PC miljö. Atlas Copcos egenutvecklade radiostyrningssystem för gruvfordon består av en sändare, kallad OU, och en mottagare, kallad MU (Machine Unit). En OU är en kontroller med reglage i form av knappar, joysticks och switchar och med indikatorer i form av LEDs och display. För att säkerställa att en OU endast kan kommunicera med en specifik MU och vice versa måste enheternas radiomoduler paras ihop genom en process som kallas ”learn link”, som görs genom att ansluta en CAN-kabel mellan enheterna. Genom att använda en OU simulator vid MU produktionstest skulle det vara lättare att utföra vissa tester, såsom internfel och varningar, och det skulle vara möjligt att inkludera tester som är omöjliga att göra med en hårdvaru-OU, som att avsiktligt sända en felberäknad checksumma, för att undersöka MU-enhetens respons. OU simulatorn skulle ha ett grafiskt gränssnitt och genom att ansluta ett radiokort till PC:n skulle den kunna skicka och ta emot data från en MU. Den skulle också kunna utföra ”learn link”. Den färdiga produkten utvecklades med hjälp av C# och en XP-inspirerad utvecklingsmetod.<br>This thesis was developed as an assignment from Atlas Copco where the goal was to develop software that could simulate an OU (Operator Unit) in a PC environment. Atlas Copco’s proprietary radio-control system for mining vehicles consists of a transmitter, called OU, and a receiver, called MU (Machine Unit). An OU is a controller with controls in the form of buttons, joysticks and switches and with indicators in the form of LEDs and display. To ensure that an OU only can communicate with a specific MU and vice versa the units’ radio modules must be paired together through a process called “learn link”, that is performed by connecting the units with a CAN-cable. By using an OU simulator for MU production tests it would be easier to perform some tests, such as internal errors and warnings, and it would be possible to include tests that are impossible to do with OU hardware, such as intentionally send a miscalculated checksum, to examine the MU’s response. The OU simulator should have a graphical user interface and by connecting a radio card to the PC it should be able to send and receive data from an MU. It should also be able to perform “learn link”. The final product was developed using C# together with an XP-inspired development method.

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16

Symes, Dominic. "Reflexive operator algebras." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308848.

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17

Böhm, Walter. "An Operator Limit." Department of Statistics and Mathematics, WU Vienna University of Economics and Business, 1994. http://epub.wu.ac.at/282/1/document.pdf.

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18

Browning, Marguerite. "Null operator constructions." Thesis, Massachusetts Institute of Technology, 1987. http://hdl.handle.net/1721.1/14701.

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19

Dorr, Hilary R. "Non-operator and farm operator landowner interest in agroforestry in Missouri." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4610.

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Thesis (M.S.) University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 20, 2007) Vita. Includes bibliographical references.

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20

Kim, Yonne Mi. "Unique continuation theorems for the Dirac operator and the Laplace operator." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/14469.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1989.<br>Title as it appeared in M.I.T. Graduate List, Feb. 1989: Carleman inequalities and strong unique continuation.<br>Includes bibliographical references (leaf 59).<br>by Yonne Mi Kim.<br>Ph.D.

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21

Batchenko, Vladimir. "On the spectra of Schrödinger and Jacobi operators with complex-valued quasi-periodic algebro-geometric coefficients." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4136.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2005.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 23, 2006) Vita. Includes bibliographical references.

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22

Zinchenko, Maksym. "Topics in spectral and inverse spectral theory." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4460.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (May 2, 2007) Vita. Includes bibliographical references.

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23

Billing, P. J. "Computer simulation of plant operation for use in process operator training." Thesis, University of Bath, 1988. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.760584.

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24

Tummaluri, Raghuram R. "Operator Assignment in Labor Intensive Cells Considering Operation Time Based Skill Levels, Learning and Forgetting." Ohio University / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1126900571.

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25

Ramos, Priscila Santos. "Uma introdução aos operadores de Schrödinger com ênfase no caso unidimensional." Universidade Federal de Alagoas, 2009. http://repositorio.ufal.br/handle/riufal/1024.

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The main objective of this dissertation is to give an introduction to Schrödinger operators of the type H = -∆ + V. In these operators, ∆ denotes the Laplacian of Rⁿ and V denotes the operator of multiplication by a function V both defined in a suitable subspace of L²(Rⁿ) with respect to the determination of its selfadjointess and of its spectrum.<br>Fundação de Amparo a Pesquisa do Estado de Alagoas<br>O objetivo principal desta dissertação é fornecer uma introdução aos operadores de Schrödinger do tipo H = -∆ + V, onde ∆ denota o laplaciano do Rⁿ e V denota o operador de multiplicação pela função V ambos definidos em um subespaço conveniente do L²(Rⁿ), no que diz respeito à determinação de sua auto-adjunticidade e do seu espectro.

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26

edu, wodzicki@math berkeley. "Commutator Structure of Operator Ideals." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1062.ps.

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27

Torshage, Axel. "Non-selfadjoint operator functions." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-143085.

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Spectral properties of linear operators and operator functions can be used to analyze models in nature. When dispersion and damping are taken into account, the dependence of the spectral parameter is in general non-linear and the operators are not selfadjoint. In this thesis non-selfadjoint operator functions are studied and several methods for obtaining properties of unbounded non-selfadjoint operator functions are presented. Equivalence is used to characterize operator functions since two equivalent operators share many significant characteristics such as the spectrum and closeness. Methods of linearization and other types of equivalences are presented for a class of unbounded operator matrix functions. To study properties of the spectrum for non-selfadjoint operator functions, the numerical range is a powerful tool. The thesis introduces an optimal enclosure of the numerical range of a class of unbounded operator functions. The new enclosure can be computed explicitly, and it is investigated in detail. Many properties of the numerical range such as the number of components can be deduced from the enclosure. Furthermore, it is utilized to prove the existence of an infinite number of eigenvalues accumulating to specific points in the complex plane. Among the results are proofs of accumulation of eigenvalues to the singularities of a class of unbounded rational operator functions. The enclosure of the numerical range is also used to find optimal and computable estimates of the norm of resolvent and a corresponding enclosure of the ε-pseudospectrum.

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Levene, Rupert Howard. "Lie semigroup operator algebras." Thesis, Lancaster University, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421841.

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Clark, Stephen Andrew. "Operator logarithms and exponentials." Thesis, University of Oxford, 2007. http://ora.ox.ac.uk/objects/uuid:132ebd14-420c-4c24-a38c-9838f7b7e303.

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Since Mclntosh's introduction of the H<sup>∞</sup>-calculus for sectorial operators, the topic has been studied by many authors. Haase has constructed a similar functional calculus for strip-type operators, and has also developed an abstract framework which unifies both of these examples and more. In this thesis we use this abstract functional calculus setting to study two particular problems in operator theory. The first of these is concerned with operator sums. We ask the question of when the sum log A+log B is closed, where A and B are a pair of injective sectorial operators whose resolvents commute. We show that the sum is always closable and, when A and B are invertible, we determine sufficient conditions for the sum to be closed. These conditions are of Kalton-Weis type, and in fact ensure that AB is sectorial and that the identity log A + log B = log(AB) holds. We then identify an interpolation space on which these conditions are automatically satisfied. Our second problem is connected to the exponential of a strip-type operator B</e>, specifically the question of whether e<sup>B</sup> is sectorial. When -1 ∈ p(e<sup>B</sup>), the spectrum of e<sup>B</sup> lies in a sector, and we obtain an estimate on the resolvent outside this sector. This estimate becomes closer to sectoriality as more restrictions are placed on the resolvents of B itself. This leads us to introduce the ideas of F-sectorial and F-strong strip-type operators, whose spectra are contained in a sector or strip, but which satisfy a different resolvent estimate from that of a sectorial or strong striptype operator. In some cases it is possible to define the logarithm of an F-sectorial operator or the exponential of an F-strong strip-type operator. We prove resolvent estimates for the resulting logarithms and exponentials, and explore the relationships between the various classes of operators considered.

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SILVA, LUIS ANTONIO FRANCA. "METROPOLITAN SERVICE ETHERNET OPERATOR." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2005. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=7582@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>Este trabalho apresenta as principais características de um sistema telefônico de voz baseado na tecnologia TDM e de um sistema de comunicações ópticas baseado em no protocolo Ethernet. Os dois sistemas são comparados economicamente. A solução Ethernet foi então escolhida e avaliada para ser instalada priorizando sua utilização na área central do Rio de Janeiro em aplicações corporativas. Aplicações residenciais também foram avaliadas, com menor ênfase.<br>This work shows the legacy telephone system and optical communication system based on the Ethernet protocol major characteristics, compares both in technical and economically aspects. Then, the implementation of an optical network based on the Ethernet protocol in some areas of Rio de Janeiro is assessed.

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31

Wang, Qing Yi S. M. Massachusetts Institute of Technology. "Transit extraboard operator scheduling." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/128995.

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Thesis: S.M. in Transportation, Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, September, 2020<br>Cataloged from student-submitted PDF of thesis.<br>Includes bibliographical references (pages 144-147).<br>In addition to operators who pick scheduled service duties, transit agencies have a separate group of operators to cover work that becomes open due to absence or other unexpected situations. This group of operators are referred to collectively as the extraboard. Another way to cover the open work is through operator overtime. Therefore, a central challenge of the extraboard planning problem lies in the uncertainty of the amount of the work that will need to be covered, as well as the extent of operators' willingness to work overtime. Due to the critical importance of service reliability, transit agencies seek a systematic approach to schedule extraboard operators to minimize a weighted cost of lost service, overtime, and extraboard operators. This thesis proposes a methodology that systematically addresses the extraboard scheduling problem, focusing on a case study using data from the Massachusetts Bay Transportation Authority (MBTA).<br>The methodology has two components: demand (absence) estimation and schedule optimization. Absence can be classified as known-in-advance or unexpected, based on both when they are known and the way they are covered. Two negative binomial regression models were formulated based on their different characteristics. Among the variables tested, no significant predictive relationships were found with respect to absences, overtime, or lost service. The resulting models mainly reflect the average behavior on each day of the week. Multi-stage integer optimization programs were constructed to schedule the extraboard operators. Given the current extraboard size, assignments given by different modelling strategies were similar. When the staffing level constraint was relaxed, compared to deterministic models, the robust solutions achieve more stable level of lost service and overtime, while being less sensitive to model parameters.<br>However, the robust solutions are of higher financial costs to the MBTA, since they included more fixed financial costs from the extraboard operators and less variable costs from overtime and lost service. Therefore, without improvements in the input estimations, decision of extraboard size depends on the tradeoff between financial costs and service reliability. This thesis contributes to the literature by quantitatively studying operator absence, introducing robust optimization for the extraboard planning problem, and demonstrating the use and the advantages of a systematic assignment procedure.<br>by Qing Yi Wang.<br>S.M. in Transportation<br>S.M.inTransportation Massachusetts Institute of Technology, Department of Civil and Environmental Engineering

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32

Zhang, Yaowei. "The Bourgain Spaces and Recovery of Magnetic and Electric Potentials of Schrödinger Operators." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/41.

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We consider the inverse problem for the magnetic Schrödinger operator with the assumption that the magnetic potential is in Cλ and the electric potential is of the form p1 + div p2 with p1, p2 ∈ Cλ. We use semiclassical pseudodifferential operators on semiclassical Sobolev spaces and Bourgain type spaces. The Bourgain type spaces are defined using the symbol of the operator h2Δ + hμ ⋅ D. Our main result gives a procedure for recovering the curl of the magnetic field and the electric potential from the Dirichlet to Neumann map. Our results are in dimension three and higher.

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Stefanov, Atanas. "On homogeneous Calderón-Zygmund operators with rough kernels /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9951125.

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34

Dang, Vinh Ngoc. "Modeling operator cognition for accident sequence analysis : development of an operator-plant simulation." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/10885.

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35

Ghanbari, Amirhossein. "Indoor multi-operator solutions Network sharing and Outsourcing network management and operation." Thesis, KTH, Skolan för informations- och kommunikationsteknik (ICT), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-143541.

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Indoor solutions as a part of cellular mobile networks planning have been used for years in a way to fulfill the lack of admissible coverage while subscribers experienced using cellular phones indoors. On the other hand, network capital and operational expenditures; that has also commonly been used for Distributed Antenna Systems (DAS) solutions in indoor deployments. Besides sharing, outsourcing network operation and maintenance has also been widely accepted by wireless carriers all around the world after that IT outsourcing flow, which started in late 90s, seemed to be quite promising for lowering operational costs. The raise of new technologies in this domain that always promise higher, better and more to subscribers, little by little started to become worrisome since operators have begun to experience lower revenues from voice services during the last couple of years as well as higher demand of capacity. As a result, operators started considering deploying indoor networks as a part of their planned network, with regard to the fact that during recent years the femtocell technology became the hot topic for smallcell deployments. This way, MNOs could exploit benefits of covering customers indoors efficiently as well as offloading mobile data traffic from macro cellular networks. But a question rose afterwards; why sharing and outsourcing in smallcell networks have not taken off yet? As they have been commonly used in macro cellular networks and DAS solutions? In this MSc thesis, cooperation between different actors of the shared indoor mobile network ecosystem is studied by investigating both possible sharing models and the concept of outsourcing network operation and management for smallcell networks. This investigation has been done based on femtocells as the most suitable technology both for better coverage and higher capacity. During this process, different roles of actors in the ecosystems, the business relations between them and the main drivers of sharing were studied as well as discussing the main beneficiary of sharing, in order to find different types of cooperation and correlation in the ecosystem. The main research questions in the thesis revolve around absence of sharing either active or passively in indoor mobile networks as well as outsourcing network operation and management. Eventually, a series of possible deployment models for shared and outsourced indoor mobile networks are presented where they have been tried to be verified by a number of use cases. As a result, this study proposes a set of recommendations for different possible operators in the ecosystem in order to formulate a profitable business model for them. These recommendations are believed to enable taking of f sharing and outsourcing in smallcell networks.

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Labuschagne, L. E., and Louis E. Labuschagne. "Functions of operators and the classes associated with them." Doctoral thesis, University of Cape Town, 1988. http://hdl.handle.net/11427/23260.

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The important classes of normally solvable, ϴ₊ (ϴ₋) and strictly singular (strictly cosingular) operators have long been studied in the setting of bounded or closed operators between Banach spaces. Results by Kato, Lacey, et al (see Goldberg [16; III.1.9, III.2.1 and III.2.3] ) led to the definition of certain norm related functions of operators (Γ, Δ and Γ₀) which provided a powerful new way to study the classes of ϴ₊ and strictly singular operators (see for example Gramsch[19], Lebow and Schechter[28] and Schechter[36]). Results by Brace and R.-Kneece[4] among others led to the definition of analogous functions (Γ' and Δ') which were used to study ϴ₋ and strictly cosingular operators (see for example Weis, [37] and [38]). Again this problem was considered mainly for the case of bounded operators between Banach spaces. This thesis represents a contribution to knowledge in the sense that by considering the functions Γ', Δ' and Γ'₀, as well as the minimum modulus function in the more general setting of unbounded linear operators between normed linear spaces, we obtain the classes of F₋ and Range Open operators which turn out to be closely related to the classes of ϴ₋ and normally solvable operators respectively. We also define unbounded strictly cosingular operators and find that many of the classical results on ϴ₋, normally solvable and bounded strictly cosingular operators go through for F₋, range open and unbounded strictly cosingular operators respectively. This ties up with work done by R. W. Cross and provides a workable framework within which to study ϴ₋ and ϴ₊ type operators in the much more. general setting of unbounded linear operators between normed linear spaces.

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37

Ardila, Rene. "Morita equivalence of W*-correspondences and their Hardy algebras." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5703.

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Muhly and Solel developed a notion of Morita equivalence for C*- correspondences, which they used to show that if two C*-correspondences E and F are Morita equivalent then their tensor algebras $\mathcal{T}_{+}(E)$ and $\mathcal{T}_{+}(F)$ are (strongly) Morita equivalent operator algebras. We give the weak* version of this result by considering (weak) Morita equivalence of W*-correspondences and employing Blecher and Kashyap's notion of Morita equivalence for dual operator algebras. More precisely, we show that weak Morita equivalence of W*-correspondences E and F implies weak Morita equivalence of their Hardy algebras $H^{\infty}(E)$ and $H^{\infty}(F)$. We give special attention to W*-graph correspondences and show a number of results related to their Morita equivalence. We study how different representations of a W*-algebra give rise to Morita equivalent objects. For example, we show that if (E,A) is a W*-graph correspondence and we have two faithful normal representations $\sigma$ and $\tau$ of A, then the commutants of the induced representions $\sigma ^{\ms{F}(E)}(H^{\infty}(E))$ and $\tau ^{\ms{F}(E)}(H^{\infty}(E))$ are weakly Morita equivalent dual operator algebras. We also develop a categorical approach to Morita equivalence of W*- correspondences. This involves building categories of covariant representations and studying the groups $Aut(\mathbb{D}({(E^{\sigma}})^*)$ and $Aut(H^{\infty}(E))$ (the automorphism groups of the unit ball of intertwiners and the Hardy algebra). In this regard, we advance the work of Muhly and Solel by showing new results about these groups, their matrix representation and their algebraic properties.

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38

Turcu, George R. "Hypercyclic Extensions Of Bounded Linear Operators." Bowling Green State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1386189984.

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39

Takizawa, Michiru Clara. "The ladder operator approach to constructing conserved operators in integrable one-dimensional lattice models /." [St. Lucia, Qld.], 2004. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe18577.pdf.

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40

Patterson, Cameron Webster. "An Economic Model of Subscriber Offloading Between Mobile Network Operators and a WLAN Operator." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/50660.

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With increasing mobile data demand there is a push towards heterogeneous networks. Small-scale operators (SSOs) of WLANs are becoming more prevalent, while Mobile Network Operators (MNOs) seek an outlet for their customers' data usage. These conditions prompt the need for an effective relationship between the two parties for the purpose of offloading cellular data traffic to WLANs in a way that is economically beneficial to all involved. This thesis presents a model of such a relationship, in which the SSO sets a strategic offloading price per subscriber and several MNOs can choose how many subscribers they want to offload in order to minimize their costs. We determine the optimal offloading price, identify how the SSO incorporates its own network's quality of service (QoS) into its price decision, and examine the way in which the MNOs' cost structures affect their ability to offload. This model can be applied by both MNOs and SSOs to make informed network deployment decisions, even before engaging in an offloading relationship.<br>Master of Science

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Wiesner, Dirk. "Polynomials in operator space theory /." Tönning ; Lübeck ; Marburg : Der Andere Verl, 2009. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017610887&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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42

Ha, Vu Thi Ngoc. "Helmholtz operator in quaternionic analysis." [S.l. : s.n.], 2005. http://www.diss.fu-berlin.de/2005/61/index.html.

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43

Potter, Michael James A. "Berezin symbols and operator theory." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ53208.pdf.

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44

Sabourova, Natalia. "Real and complex operator norms." Licentiate thesis, Luleå : Luleå University of Technology, 2007. http://epubl.luth.se/1402-1757/2007/09.

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45

Mellberg, Anders. "Extension – Operator Environment for ForestHarvesters." Thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH, Maskinteknik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-21855.

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A forest harvester operator is today facing a stressful work environment with a high demand on coordination skills and effectiveness to run the operation with positive economical outcome. The learning phase is very long compared to similar work.The vision for this project was to transform the machine, through intuitive and innovative interface design, into an extension of the operator’s body. In this way it provides higher productivity as well as user friendliness, shorter learning phase and a healthier work situation.This was realized through the use of prior but yet not market available related research. Through market studies, applicable technology already available in other industries was found. The result is a complete seat with controls for a conceptual Gremo harvester realizable in the year 2023.

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46

Khadivi, Mohammad Reza. "Operator theory and infinite networks." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/30019.

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47

McGarvey, M. "Normalisers of reflexive operator algebras." Thesis, Queen's University Belfast, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.517090.

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48

Balkare, Johan. "Shift Operator in l2 Space." Thesis, KTH, Matematik (Inst.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-147599.

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A Hilbert space H is the abstraction of a nite-dimensional Eu-clidean space. The spectrum of a bounded linear operator A : H !H , denoted (A), is given by all numbers 2 C such that (A􀀀I) isnot invertible. The shift operators are one type of bounded linear op-erators. In this report we prove ve claims regarding the spectrum ofthe shifts. We work in the Hilbert space `2 which consists of all squaresummable sequences, both single sided (x0; x1; x2; :::) and double sided(:::x􀀀1; x0; x1; :::). One of the most general results proved applies tothe weighted unilateral shift S dened for (x0; x1; x2; :::) 2 `2 byS(x0; x1; x2; :::) = (0; 0x0; 1x1; 2x2; :::)where fng is a bounded arbitrary weight sequence with n > 0 forall n 0. Theorem. Let r(S) be the radius of the smallest disc which contain(S). Then(S) = f : jj r(S)g:

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PEDROZA, LUIZ CARLOS C. "EXTENSION OPERATOR AND NEURON NETWORK." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1997. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8452@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Na tese se desenvolve a teoria do Operador de extensão (OPEX) e utiliza-se desta para compreender melhor algumas questões relativas a teoria de Redes Neurais(RN). A abordagem de Redes Neurais pela ótica do Operador de Extensão possibilita também um melhoramento no algoritmo de retropropagação de erro usado no treinamento supervisionado das Redes Neurais.<br>In this thesis, theory of Extension Operator is developed and used to understand some questions related to Neuron Networks Theory. The approach of Neuron Networs through the point of view of Extension Operator also enables a improvement in the Backpropagation algorithm used in Neuron Networks training.

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Lioudaki, Vasiliki. "Operator theory on Cp spaces." Thesis, University of Edinburgh, 2004. http://hdl.handle.net/1842/12432.

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