Relevant bibliographies by topics / Do operator

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Do operator'

Author: Grafiati
Published: 9 March 2023
Last updated: 19 July 2025

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Journal articles on the topic "Do operator"

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Rooin, Jamal, Akram Alikhani, and Mohammad Sal Moslehian. "Operator m-convex functions." Georgian Mathematical Journal 25, no. 1 (2018): 93–107. http://dx.doi.org/10.1515/gmj-2017-0045.

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AbstractThe aim of this paper is to present a comprehensive study of operatorm-convex functions. Let{m\in[0,1]}, and{J=[0,b]}for some{b\in\mathbb{R}}or{J=[0,\infty)}. A continuous function{\varphi\colon J\to\mathbb{R}}is called operatorm-convex if for any{t\in[0,1]}and any self-adjoint operators{A,B\in\mathbb{B}({\mathscr{H}})}, whose spectra are contained inJ, we have{\varphi(tA+m(1-t)B)\leq t\varphi(A)+m(1-t)\varphi(B)}. We first generalize the celebrated Jensen inequality for continuousm-convex functions and Hilbert space operators and then use suitable weight functions to give some weighted refinements. Introducing the notion of operatorm-convexity, we extend the Choi–Davis–Jensen inequality for operatorm-convex functions. We also present an operator version of the Jensen–Mercer inequality form-convex functions and generalize this inequality for operatorm-convex functions involving continuous fields of operators and unital fields of positive linear mappings. Employing the Jensen–Mercer operator inequality for operatorm-convex functions, we construct them-Jensen operator functional and obtain an upper bound for it.
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Li, Xiaochun, and Fugen Gao. "On Properties of ClassA(n)andn-Paranormal Operators." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/629061.

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Letnbe a positive integer, and an operatorT∈B(ℋ)is called a classA(n)operator ifT1+n2/1+n≥|T|2andn-paranormal operator ifT1+nx1/1+n≥||Tx||for every unit vectorx∈ℋ, which are common generalizations of classAand paranormal, respectively. In this paper, firstly we consider the tensor products for classA(n)operators, giving a necessary and sufficient condition forT⊗Sto be a classA(n)operator whenTandSare both non-zero operators; secondly we consider the properties forn-paranormal operators, showing that an-paranormal contraction is the direct sum of a unitary and aC.0completely non-unitary contraction.
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Wong, M. W. "Minimal and Maximal Operator Theory With Applications." Canadian Journal of Mathematics 43, no. 3 (1991): 617–27. http://dx.doi.org/10.4153/cjm-1991-036-7.

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AbstractLetXbe a complex Banach space andAa linear operator fromXintoXwith dense domain. We construct the minimal and maximal operators of the operatorAand prove that they are equal under reasonable hypotheses on the spaceXand operatorA. As an application, we obtain the existence and regularity of weak solutions of linear equations on the spaceX. As another application we obtain a criterion for a symmetric operator on a complex Hilbert space to be essentially self-adjoint. An application to pseudo-differential operators of the Weyl type is given.
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Rosales, Edixo. "Operadores de riesz en el Alglat(T)∩{T}." Revista Bases de la Ciencia. e-ISSN 2588-0764 6, no. 1 (2021): 49. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v6i1.2515.

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 En este trabajo X es un espacio de Banach y B(X) denota los operadores acotados. Si T∈B(X), por lat(T) entenderemos los subespacios invariantes por T. Se dice que T es lleno, si (T(M)) ̅=M, para todo M∈lat(T) (la barra indica la clausura en la topología inducida por la norma). Se prueba principalmente el siguiente resultado: Sean X un espacio de Banach y T ∈B(X) acotado por abajo. Sea K ∈Alglat(T)∩{T}' un operador de Riesz. Si K es lleno, entonces T es lleno. Aquí Alglat(T)={S∈B(X):M∈lat(T)⟾M∈lat(S)} y {T}^'={S∈B(X):S∘T=T∘S}.
 
 Palabras clave: Operador lleno, operador de Riesz, operador acotado por abajo.
 
 Abstract
 In this work X is a Banach space and B(X) denotes the bounded operators. If T ∈B(X), for lat(T) we will understand the invariant subspaces for T. An operator T is full, if (T(M)) ̅=M, for all M∈ latT (the bar indicates the closure in the topology induced by the norm). The following result is true: Let X be a Banach space, T ∈B(X) a bounded below operator and K ∈Alglat(T)∩{T}' a Riesz operator: If K is a full operator, then T is a full operator. Here Alglat(T)={S∈B(X):M∈lat(T)⟾M∈lat(S)} and {T}^'={S∈B(X):S∘T=T∘S}.
 
 Keywords: full operator, Riesz operator, bounded below operator.
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Harjule, Priyanka, Manish Bansal, and Serkan Araci. "An investigation of incomplete H−functions associated with some fractional integral operators." Filomat 36, no. 8 (2022): 2695–703. http://dx.doi.org/10.2298/fil2208695h.

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Arbitrary-order integral operators find variety of implementations in different science disciplines as well as engineering fields. The study presented as part of this research paper derives motivation from the fact that applications of fractional operators and special functions demonstrate a huge potential in understanding many of physical phenomena. Study and investigation of a fractional integral operator containing an incomplete H? functions (IHFs) as the kernel is the primary objective of the research work presented here. Specifically, few interesting relations involving the new fractional operator with IHFs in its kernel and classical Riemann Liouville(R-L) fractional integral and derivative operators, the Hilfer fractional derivative operator, the generalized composite fractonal derivate operaor are established. Results established by the authors in [1-3] follow as few interesting and significant special cases of our main results.
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Rosales, Edixo. "RESULTADOS SOBRE OPERADORES LLENOS EN ESPACIOS DE HILBERT." Bases de la Ciencia 5, no. 1 (2020): 51–62. https://doi.org/10.5281/zenodo.6904284.

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<strong>RESUMEN</strong> Se prueba, entre otros, el siguiente resultado: Sea T:H&rarr;H un operador autoadjunto inyectivo, y K:H&rarr;H un operador de Riesz, tal que&nbsp; K&isin;Alglat(T)&cap;{T}&#39;.&nbsp; Si K:H&rarr;H es lleno, entonces T:H&rarr;H es lleno.&nbsp;&nbsp;&nbsp; <strong>Abstract</strong>&nbsp;It is proved here, among other results, the following: Let T:H&rarr;H&nbsp; be a self-adjoint injective operator, and K:H&rarr;H a Riesz operator, &nbsp;such that K&isin;Alglat(T)&cap;{T}&#39;. If K:H&rarr;H is a full operator, then T:H&rarr;H is a full operator.&nbsp;&nbsp;
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Miloslova, A. A., and T. A. Suslina. "Averaging of Higher-Order Parabolic Equations with Periodic Coefficients." Contemporary Mathematics. Fundamental Directions 67, no. 1 (2021): 130–91. http://dx.doi.org/10.22363/2413-3639-2021-67-1-130-191.

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In L2(Rd;Cn), we consider a wide class of matrix elliptic operators A of order 2p (where p2) with periodic rapidly oscillating coefficients (depending on x/). Here 0 is a small parameter. We study the behavior of the operator exponent e-A for 0 and small . We show that the operatore-A converges as 0 in the operator norm in L2(Rd;Cn) to the exponent e-A0 of the effective operator A0. Also we obtain an approximation of the operator exponent e-A in the norm of operators acting from L2(Rd;Cn) to the Sobolev space Hp(Rd; Cn). We derive estimates of errors of these approximations depending on two parameters: and . For a fixed 0 the errors have the exact order O(). We use the results to study the behavior of a solution of the Cauchy problem for the parabolic equation u(x,)= -(A u)(x,)+F(x,) in Rd.
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Rosales, Edixo. "RESULTADOS SOBRE OPERADORES LLENOS EN ESPACIOS DE HILBERT." Revista Bases de la Ciencia. e-ISSN 2588-0764 5, no. 1 (2020): 51. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v5i1.1686.

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&#x0D; Se prueba, entre otros, el siguiente resultado: Sea T:H→H un operador autoadjunto inyectivo, y K:H→H un operador de Riesz, tal que K∈Alglat(T)∩{T}'. Si K:H→H es lleno, entonces T:H→H es lleno.&#x0D; &#x0D; Palabras clave: Operador de Riesz, operador autoadjunto, operador lleno.&#x0D; &#x0D; Abstract&#x0D; It is proved here, among other results, the following: Let T:H→H be a self-adjoint injective operator, and K:H→H a Riesz operator, such that K∈Alglat(T)∩{T}'. If K:H→H is a full operator, then T:H→H is a full operator.&#x0D; &#x0D; Keywords: Riesz operator, self-adjoint operator, full operator.&#x0D; &#x0D; Resumo&#x0D; &#x0D; O siguiente resultado, entre outros, está provado: Seja T:H→H um operador autoadjunto limitado abaixo, e K:H→H um operador de Riesz, tal qual K∈AlglatT⋂{T}^'. Se K:H→H é um operador completo, então T:H→H é um operador completo.&#x0D; Palavras-chave: operador Riesz, operador autoadjunto completo.&#x0D;
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Muxayyo, Muxtor qizi Sharopova. "INTRODUCING "PROGRAM CONTROL OPERATORS" IN THE JAVA PROGRAMMING LANGUAGE." Multidisciplinary Journal of Science and Technology 3, no. 5 (2023): 222–31. https://doi.org/10.5281/zenodo.10423915.

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This article introduces operators in the Java programming language and their functions. Including comparison operator if-else, ternary operators, loop operators for, while, do-while, selection operator switch, break and continue operator. Solutions to problems associated with each operator are shown.
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Gunawan, Gunawan, and Erni Widiyastuti. "KARAKTERISTIK OPERATOR PARANORMAL- * QUASI." Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika 3, no. 1 (2022): 256–73. http://dx.doi.org/10.46306/lb.v3i1.114.

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Given Hilbert space H over the fields of . This study aimed to investigate the paranormal- * quasi operators and their properties in Hilbert space. The study resulted the properties of paranormal- * quasi operators, hyponormal operator, class A operator, Class A- * operator, p- hyponormal operator for p &gt; 0, - paranormal operators, compact operator, and the relationship between them
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Dissertations / Theses on the topic "Do operator"

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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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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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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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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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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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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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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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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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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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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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Books on the topic "Do operator"

1

Helffer, Bernard. Semiclassical analysis for Schrödinger operators, Laplace integrals and transfer operators in large dimension : an introduction: Cours de DEA. Paris Onze édition, 1995.

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Krasnoselʹskiĭ, A. M. Asymptotics of nonlinearities and operator equations. Birkhäuser Verlag, 1995.

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Eisner, Tanja. Stability of operators and operator semigroups. Birkhäuser, 2010.

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Eisner, Tanja. Stability of Operators and Operator Semigroups. Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0195-5.

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Eisner, Tanja. Stability of operators and operator semigroups. Birkhäuser, 2010.

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Ge, Liming, Huaxin Lin, Zhong-Jin Ruan, Dianzhou Zhang, and Shuang Zhang, eds. Operator Algebras and Operator Theory. American Mathematical Society, 1998. http://dx.doi.org/10.1090/conm/228.

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Cordes, H. O. The technique of pseudodifferential operators. Cambridge University Press, 1995.

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Beckhoff, Ferdinand. Korovkin-Theorie in Algebren. Mathematisches Institut der Universität Münster, 1987.

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Wong, M. W. An introduction to pseudo-differential operators. 3rd ed. World Scientific, 2014.

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1955-, Putinar Mihai, ed. Lectures on hyponormal operators. Birkhäuser Verlag, 1989.

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Book chapters on the topic "Do operator"

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Slama, Dirk. "Digital Equipment Operator." In The Digital Playbook. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-88221-1_8.

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AbstractThe Digital Equipment Operator utilizes AIoT to optimize how they operate physical assets or equipment. Goals often include asset performance optimization and process improvements. Examples of Digital Equipment Operators include manufacturers, electricity grid operators, railroad operators, and mining companies. This chapter introduces the concept of the The Digital Equipment Operator in detail, again following the why, what, how structure from the Introduction (Fig. 8.1).
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Cohen, Leon. "Arbitrary Operators: Single Operator." In The Weyl Operator and its Generalization. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0294-9_12.

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Bogachev, Vladimir I., and Oleg G. Smolyanov. "Unbounded Operators and Operator Semigroups." In Real and Functional Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38219-3_10.

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Berkolaiko, Gregory, and Peter Kuchment. "Linear operators and operator-functions." In Mathematical Surveys and Monographs. American Mathematical Society, 2012. http://dx.doi.org/10.1090/surv/186/09.

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Oury, Jacob D., and Frank E. Ritter. "Cognition and Operator Performance." In Human–Computer Interaction Series. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-47775-2_3.

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AbstractDeveloping systems that foster situation awareness in operators requires that stakeholders can make informed decisions about the design. These decisions must account for the operator’s underlying cognitive processes based on perception, comprehension, and projection of the system state. This chapter reviews the core cognitive processes responsible for monitoring and responding to changes in system state. Operators must perceive information before they can act in response, and the interface design affects operator accuracy and speed via known mechanisms (i.e., effects of color on visual search time). Perception of key information also relies on how the operator thinks during tasks, and certain design choices can support better attention control and detection of signals. After perceiving the information, operators also must comprehend and interpret the information. Design guidance and factors related to supporting comprehension are presented alongside explanations of how cognitive load and working memory affect the operator’s ability to develop and maintain a useful mental model of the system. This review of cognitive mechanisms gives designers a strong foundation to make informed decisions ranging from choosing an alarm color to assessing how much information should be on screen at once.
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Stulpe, Werner. "Operator." In Compendium of Quantum Physics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-70626-7_133.

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Gooch, Jan W. "Operator." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_14388.

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Yokoi, Kazuhito, Katsumi Nakashima, and Yoshitaka Yanagihara. "A Tele-operated Humanoid Operator." In Springer Tracts in Advanced Robotics. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11552246_22.

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Dijksma, Aad, and Heinz Langer. "Operator theory and ordinary differential operators." In Fields Institute Monographs. American Mathematical Society, 1995. http://dx.doi.org/10.1090/fim/003/02.

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Eisner, Tanja. "Functional analytic tools." In Stability of Operators and Operator Semigroups. Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0195-5_1.

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Conference papers on the topic "Do operator"

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John, Maneesh, Jyothi Rikhab Chand, and Mathews Jacob. "Local Monotone Operator Learning Using Non-Monotone Operators: MNM-MOL." In 2024 IEEE International Symposium on Biomedical Imaging (ISBI). IEEE, 2024. http://dx.doi.org/10.1109/isbi56570.2024.10635476.

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Curtiss, Peter, Kumaraguru Prabakar, Deepthi Vaidhynathan, Subhankar Ganguly, Saeed Kamalinia, and Rishabh Jain. "Flexible Operation of Microgrids Through Operator-Configurable Microgrid Controllers." In 2025 IEEE PES Grid Edge Technologies Conference & Exposition (Grid Edge). IEEE, 2025. https://doi.org/10.1109/gridedge61154.2025.10887451.

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Carpi, Sebastiano. "Operator algebras and vertex operator algebras." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0508.

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Zwart, Hans. "Is A-1an infinitesimal generator?" In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-18.

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Lyubich, Yu I. "A reducibility problem for the classical residue formula." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-19.

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Galé, José E. "Some applications of fractional calculus to operator semigroups and functional calculus." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-9.

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Benhida, C., and E. H. Zerouali. "Back to RS-SR spectral theory." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-4.

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Bračič, J., and V. Müller. "Open set of eigenvalues and SVEP." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-5.

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Allan, Graham R. "Some simple proofs in holomorphic spectral theory." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-1.

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González, Manuel. "Banach spaces with small Calkin algebras." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-10.

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Reports on the topic "Do operator"

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Haaland, K. S., and D. D. Sworder. Operator Multiple-Tasking Study for Remotely Operated Platforms. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada184487.

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Lysaght, Robert J., Susan G. Hill, A. O. Dick, Brian D. Plamondon, and Paul M. Linton. Operator Workload: Comprehensive Review and Evaluation of Operator Workload Methodologies. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada212879.

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Draper, Marker. Advanced UMV Operator Interfaces. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada441423.

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Nelson, Jeremy. Advanced UMV Operator Interfaces. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada444168.

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Nelson, Matthew A., Dmitry Keselman, and Joseph F. Longo. BioWatch SMS Operator Guide. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1093942.

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Lipinski, John J. Raven Operator Assessment Tool. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada564660.

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Stottler, Richard, and Alexander Davis. A Case-Based Reasoning Approach to Operator Assessment and Operator Machine Interface Enhancement. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada334196.

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Baker, Michael. DTRS56-02-D-70036-16 Mechanical Damage. Pipeline Research Council International, Inc. (PRCI), 2009. http://dx.doi.org/10.55274/r0011844.

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This report reviews and summarizes the current state of knowledge and practice related to mechanical damage in natural gas and hazardous liquid steel pipelines, with a particular focus on transmission pipelines. Comprehensive voluntary interviews were conducted with 10 pipeline operators who represent a diverse cross-section of industry professionals in the United States, Canada, and Europe. The interviews, which focused on operator practices for detection, characterization, and mitigation of mechanical damage on both gas and liquid transmission and gas distribution pipelines (the latter examined for comparison purposes), provided an invaluable source of data for the development of this report. Operator practices associated with the prevention of mechanical damage primarily resulting from excavation damage were also extensively covered in the interviews. The inquiry primarily included pipelines that comprise transmission systems, but gas distribution companies also reported on their experience with distribution systems consisting of both steel and plastic pipe, the latter reviewed for a comprehensive discussion of the operator's damage prevention programs and issues. Pipeline geographic locations included remote and rugged terrain, rural areas, and constrained urban environments.
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Reising, John. Uninhabited Systems and Operator Control. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada444046.

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Hague, J. R. DOE/KEURP Site Operator Program. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/6138856.

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