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Dissertations / Theses on the topic 'Banach space'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Albasrawi, Fatimah Hassan. "Floquet Theory on Banach Space." TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1234.

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In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: y'(t) = A(t)y(t), where t ∈ R, y(t) is a function with values in a Banach space X, and A(t) are linear, bounded operators on X. If the system is periodic, meaning A(t+ω) = A(t) for some period ω, then it is called a Floquet system. We will investigate the existence and uniqueness of the periodic solution, as well as the stability of a Floquet system. This thesis will be presented in five main chapters. In the first chapter, we review the system of linear differential e

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2

Jiang, Zhu. "Topics in Banach space theory." Thesis, Lancaster University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316579.

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Boedihardjo, March Tian. "Topics in Banach space theory." HKBU Institutional Repository, 2011. http://repository.hkbu.edu.hk/etd_ra/1286.

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4

Das, Bata Krishna. "Quantum stochastic analysis in Banach space and operator space." Thesis, Lancaster University, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.660115.

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5

Derrick, John. "Some problems in Banach space theory." Thesis, University of Oxford, 1988. http://ora.ox.ac.uk/objects/uuid:36289504-6d9f-42e4-af95-ef3abb8a8fa2.

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Types were introduced by Krivine and Maurey, in a refinement of a result by Aldous showing that infinite dimensional subspaces of L<sub>r</sub> contain Ωp for some 1≤pꝏ) . A synthesis of these ideas was provided by Garling whose representation of types as random measures was the motivation for much of this work. This thesis aims to investigate the structure of the representation, and to provide concrete representations for differing Banach spaces. Chapter one contains the necessary preliminaries for the later chapters, and finishes by introducing the representation due to Garling of types on L

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Vuong, Thi Minh Thu. "Complemented and uncomplemented subspaces of Banach spaces." Thesis, University of Ballarat, 2006. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/51906.

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"A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classi

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Vuong, Thi Minh Thu. "Complemented and uncomplemented subspaces of Banach spaces." University of Ballarat, 2006. http://archimedes.ballarat.edu.au:8080/vital/access/HandleResolver/1959.17/15540.

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"A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classi

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8

Kiteu, Marco M. "Orbits of operators on Hilbert space and some classes of Banach spaces." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621.

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Koller, Michael Dominik Fabian. "Topologies on the set of Banach space representations /." [S.l.] : [s.n.], 1993. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=10075.

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10

Terauds, Venta School of Mathematics UNSW. "Extentions of functional calculus for Banach space operators." Awarded by:University of New South Wales. School of Mathematics, 2006. http://handle.unsw.edu.au/1959.4/25726.

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We consider conditions under which a continuous functional calculus for a Banach space operator T ?? L(X) may be extended to a bounded Borel functional calculus, and under which a functional calculus for absolutely continuous (AC) functions may be extended to one of for functions of bounded variation (BV). The natural setting for investigating the former case is finitely spectral operators, and for the latter, well-bounded operators. Some such conditions are well-established. If X is a reflexive space, both type of Extensions are assured; in fact if X contains an isomorphic copy of co, then e

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11

RUSSO, TOMMASO. "ON SOME OPEN PROBLEMS IN BANACH SPACE THEORY." Doctoral thesis, Università degli Studi di Milano, 2019. http://hdl.handle.net/2434/609289.

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The main line of investigation of the present work is the study of some aspects in the analysis of the structure of the unit ball of (infinite-dimensional) Banach spaces. In particular, we analyse some questions concerning the existence of suitable renormings that allow the new unit ball to possess a specific geometric property. The main part of the thesis is, however, dedicated to results of isometric nature, in which the original norm is the one under consideration. One of the main sources for the selection of the topics of investigation has been the recent monograph [GMZ16], entirely

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12

VISCARDI, MARIA CLAUDIA. "ALMOST TRANSITIVE AND ALMOST HOMOGENEOUS SEPARABLE BANACH SPACES." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/582009.

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In this thesis we provide an overview of a problem related to almost homogeneous separable Banach spaces; in particular we focus on a construction of the Gurarii space due to J. Garbuli«ska and W. Kubis and some of its consequences, giving a personal contribution to the state of the art. In particular we focused on the amalgamation property of the class of all finite-dimensional Banach spaces.

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13

Hofmann, Bernd, and Peter Mathé. "Parameter choice in Banach space regularization under variational inequalities." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-86241.

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The authors study parameter choice strategies for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces. The effectiveness of any parameter choice for obtaining convergence rates depend on the interplay of the solution smoothness and the nonlinearity structure, and it can be expressed concisely in terms of variational inequalities. Such inequalities are link conditions between the penalty term, the norm misfit and the corresponding error measure. The parameter choices under consideration include an a priori choice, the discrepancy principle as well as the Lepskii principle.

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14

Athapattu, Chathurika Umayangani. "PARABOLICALLY INDUCED BANACH SPACE REPRESENTATION OF P-ADIC GROUPS." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/dissertations/1783.

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Parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. We study the parabolic induction for p-adic Banach space representation of p-adic groups. In this dissertation, using the Schneider-Teitelbaum duality, we consider the corresponding Iwasawa modules. We present the dual of parabolically induced representation in terms of the tensor product.

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15

Malý, Lukáš. "Newtonian Spaces Based on Quasi-Banach Function Lattices." Licentiate thesis, Linköpings universitet, Matematik och tillämpad matematik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-79166.

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The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. First, the underlying function norm will be replaced by the “norm” of a quasi-Banach function lattice. Second, we will investigate functions defined on an abstract metric measure space and that is why the distributional gradients need to be substituted. The thesis consists of two papers. The first on

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16

Brackebusch, Ruth Elaine. "James space on general trees /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487260135357124.

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17

Yavuz, Onur. "Invariant subspaces for Banach space operators with a multiply connected spectrum." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3219888.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2006.<br>"Title from dissertation home page (viewed June 27, 2007)." Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3174. Adviser: Hari Bercovici.

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Wimelaratna, Ramasinghege. "Multi dimensional geometric moduli and exterior algebra of a Banach space /." The Ohio State University, 1988. http://rave.ohiolink.edu/etdc/view?acc_num=osu148759830383865.

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19

D'Alessandro, S. "POLYNOMIAL ALGEBRAS AND SMOOTH FUNCTIONS IN BANACH SPACES." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/244407.

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According to the fundamental Stone-Weierstrass theorem, if X is a finite dimensional real Banach space, then every continuous function on the unit ball B_X can be uniformly approximated by polynomials. For infinite dimensional Banach spaces the statement of the Stone-Weierstrass Theorem is false, even if we replace continuous functions by the uniformly continuous ones (which is a natural condition that coincides with continuity in the finite dimensional setting): in fact, on every infinite-dimensional Banach space X there exists a uniformly continuous real function not approximable by continuo

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20

Garrisi, Daniele. "Ordinary differential equations in Banach spaces and the spectral flow." Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85668.

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21

Ronquillo, Rivera Javier Alfredo. "Extremely Amenable Groups and Banach Representations." Ohio University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1520548085599864.

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22

Carrera, Wilson Albeiro Cuellar. "Espaços de Banach com várias estruturas complexas." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-04092016-203116/.

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No presente trabalho, estudamos alguns aspectos da teoria de estruturas complexas em espaços de Banach. Demonstramos que se um espaço de Banach real $X$ tem a propriedade $P$, então todas as estruturas complexas em $X$ também satisfazem $P$, quando $P$ é qualquer uma das seguintes propriedades: propriedade de aproximação limitada, \\emph{G.L-l.u.st}, ser injetivo e ser complementado num espaço dual. Abordamos o problema da unicidade de estruturas complexas em espaços de Banach com base subsimétrica, provando que um espaço de Banach real $E$ com base subsimétrica e isomorfo ao espaço de s

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23

Azimi, Mahdi [Verfasser]. "Banach space valued stochastic integral equations and their optimal control / Mahdi Azimi." Halle, 2018. http://d-nb.info/1153401991/34.

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24

Farmer, Matthew Ray. "Applications in Fixed Point Theory." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4971/.

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Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a develop

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25

Yeates, Stephen. "Non-quasianalytic representations of semigroups : their spectra and asymptotics." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297366.

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26

Erkursun, Nazife. "Convergence Of Lotz-raebiger Nets On Banach Spaces." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12612108/index.pdf.

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The concept of LR-nets was introduced and investigated firstly by H.P. Lotz in [27] and by F. Raebiger in [30]. Therefore we call such nets Lotz-Raebiger nets, shortly LR-nets. In this thesis we treat two problems on asymptotic behavior of these operator nets. First problem is to generalize well known theorems for Ces`aro averages of a single operator to LR-nets, namely to generalize the Eberlein and Sine theorems. The second problem is related to the strong convergence of Markov LR-nets on L1-spaces. We prove that the existence of a lower-bound functions is necessary and sufficient for asymp

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27

Baratov, Rishat. "Efficient conic decomposition and projection onto a cone in a Banach ordered space." Thesis, University of Ballarat, 2005. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/61401.

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28

Lian, Zeng. "Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2555.pdf.

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29

Sunehag, Peter. "Interpolation of Subcouples, New Results and Applications." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3777.

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30

Crewe, Paul. "Some problems in abstract stochastic differential equations on Banach spaces." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:195c374f-3181-41b9-92d7-b375701a0b81.

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This thesis studies abstract stochastic differential equations on Banach spaces. The well-posedness of abstract stochastic differential equations on such spaces is a recent result of van Neerven, Veraar and Weis, based on the theory of stochastic integration of Banach space valued processes constructed by the same authors. We study existence and uniqueness for solutions of stochastic differential equations with (possibly infinite) delay in their inputs on UMD Banach spaces. Such problems are also known as functional differential equations or delay differential equations. We show that the metho

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31

Bjorkman, Kaitlin. "A Weak Groethendieck Compactness Principle for Infinite Dimensional Banach Spaces." VCU Scholars Compass, 2013. http://scholarscompass.vcu.edu/etd/3042.

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The goal of this thesis is to give an exposition of the following recent result of Freeman, Lennard, Odell, Turett and Randrianantoanina. A Banach space has the Schur property if and only if every weakly compact set is contained in the closed convex hull of a weakly null sequence. This result complements an old result of Grothendieck (now called the Grothendieck Compactness Principle) stating that every norm compact subset of a Banach space is contained in the closed convex hull of a norm null sequence. We include many of the relevant definitions and preliminary results which are required in t

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Rodríguez, Ruiz José. "Integración en espacios de Banach." Doctoral thesis, Universidad de Murcia, 2006. http://hdl.handle.net/10803/10963.

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Esta tesis doctoral se enmarca dentro de la teoría de integración de funciones con valores en espacios de Banach. Analizamos con detalle la integral de Birkhoff de funciones vectoriales, así como sus correspondientes versiones dentro de los contextos de la integración respecto de medidas vectoriales y la integración de multi-funciones. Comparamos estos métodos de integración con otros bien conocidos (integrales de Bochner, Pettis, McShane, Debreu, etc.). Caracterizamos, en términos de integración vectorial, algunas propiedades de los espacios de Banach donde las (multi-) funciones toman valore

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Abdellaoui, Taoufiq. "Distances de deux lois dans les espaces de Banach." Rouen, 1994. http://www.theses.fr/1994ROUE5003.

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La distance entre deux lois est étudiée lorsque les probabilités sont définies sur un espace de Banach séparable. Nous montrons que cette distance est atteinte par une fonction, dite associée, lorsque l'une des lois est diffuse l'autre discrète. Une condition nécessaire et suffisante pour reconnaitre le caractère associé est donnée par la cyclique monotonie. De plus un algorithme est donné pour obtenir de manière effective la fonction associée. Lorsque nous sommes dans un Hilbert séparable ces résultats sont étendus en utilisant des techniques de sous-gradients et d'analyse convexe

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Monteiro, Giselle Antunes. "Generalized linear differential equations in a Banach space: continuous dependence on parameters and applications." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-30032012-105214/.

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The purpose of this work is to investigate continuous dependence on parameters for generalized linear differential equations in a Banach space- valued setting. More precisely, we establish a theorem inspired by the clas- sical continuous dependence result due to Z. Opial. In addition, our second outcome extends, to Banach spaces, the result proved by M. Ashordia in the framework of finite dimensional generalized linear differential equations. Roughly speaking, the continuous dependence derives from assumptions of uniform convergence of the functions in the right-hand side of the equations, tog

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Portal, Pierre. "Harmonic analysis of banach space valued functions in the study of parabolic evolution equations /." free to MU campus, to others for purchase, 2004. http://wwwlib.umi.com/cr/mo/fullcit?p3137737.

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36

Kuo, Po Ling. "Operadores de extensão de aplicações multilineares ou polinomios homogeneos." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307329.

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Orientador: Jorge Tulio Mujica Ascui<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-08T22:02:35Z (GMT). No. of bitstreams: 1 Kuo_PoLing_D.pdf: 378648 bytes, checksum: 3724407371cc36985fd2257b4bc5fe8c (MD5) Previous issue date: 2007<br>Resumo: Este trabalho está dedicado ao estudo dos operadores de Nicodemi, introduzidos em [7] a partir de uma idéia em [12]. Os operadores de Nicodemi levam aplicações multilineares (resp. polinômios homogêneos) de um espaço de Banach E em aplicações mu

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Barbeiro, André Santoleri Villa. "Extensões conexas e espaços de Banach C(K) com poucos operadores." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-19042018-123305/.

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Este trabalho tem dois objetivos principais. Primeiramente, analisamos a preservação de conexidade na extensão de espaços compactos por funções contínuas, técnica utilizada por Koszmider para obter $C(K)$ indecomponível com poucos operadores. Mostramos que para todo compacto metrizável $K$ existe um desconexo $L$ que é obtido a partir de $K$ por uma quantidade finita de extensões por funções contínuas. Em seguida, enfatizamos a construção de espaços de Banach da forma $C(K)$ com poucos operadores, com a propriedade de que $C(L)$ tem poucos operadores, para todo fechado $L \\subseteq K$. Assu

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Malý, Lukáš. "Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces." Doctoral thesis, Linköpings universitet, Matematik och tillämpad matematik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-105616.

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This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. In metric spaces, we can replace the distributional gradients by (weak) upper gradients that control the functions’ behavior along (almost) all rectifiable curves, which gives rise to the so-called Newtonian spaces. The summability condition, considered in the thesis, is expressed using a general B

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Ghawadrah, Ghadeer. "Théorie descriptive des ensembles et espaces de Banach." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066078/document.

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Cette thèse traite de la théorie descriptive des ensembles et de la géométrie des espaces de Banach. La première partie consiste en l’étude de la complexité descriptive de la famille des espaces de Banach avec la propriété d’approximation bornée, respectivement la propriété π, dans l’ensemble des sous-espaces fermés de C(Δ), où Δ est l’ensemble de Cantor. Ces familles sont boréliennes. En outre, nous montrons que si alpha<br>This thesis deals with the descriptive set theory and the geometry of Banach spaces.The first chapter consists of the study of the descriptive complexity of the set of Ban

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Procházka, Antonín. "Analyse dans les espaces de Banach." Thesis, Bordeaux 1, 2009. http://www.theses.fr/2009BOR13801/document.

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Cette thèse traite quatre sujets différents de la théorie des espaces de Banach: Le premier est une caractérisation de la propriété de Radon-Nikodym en utilisant la notion du jeu des points et tranches: Le deuxième est une évaluation de l'indice de dentabilité préfaible des espaces C(K) où K est un compact du hauteur dénombrable: Le troisième est un renormage des espaces non séparables qui est simultanément LUC, lisse et approximable par des normes d'une lissité plus élevée. Le quatrième est une approche par le théorème de Baire aux principes variationnels paramétriques. La thèse commence par

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Moreau, Pierre. "Notions de petitesse, géométrie des espaces de Banach et hypercyclicité." Thesis, Bordeaux 1, 2009. http://www.theses.fr/2009BOR13803/document.

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Il existe de nombreuses notions de petitesse en analyse. On considère trois d'entre elles: la Haar-négligeabilité, la Gauss-négligeabilité et la sigma-porosité. On étudie à quelles conditions le cône positif d'une base de Schauder est Haar-négligeable, et ce que cela entraîne pour l'espace de Banach associé. On étudie également sous quelles conditions l'ensemble des vecteurs non-hypercycliques d'un opérateur hypercyclique est Haar-négligeable ou sigma-poreux<br>There are many notions of smallness in Analysis. We will consider three of them: Haar-negligeability, Gauss-negligeability and sigma-p

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Miyamura, Mauricio Yudi. "Reflexidade de espaços de operadores lineares e espaços de polinomios homogeneos." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307330.

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Orientador: Jorge Tulio Mujica Ascui<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-08T09:42:47Z (GMT). No. of bitstreams: 1 Miyamura_MauricioYudi_M.pdf: 634948 bytes, checksum: 09f557fd6fcd4987f744c3d9c645f602 (MD5) Previous issue date: 2007<br>Resumo: Sejam E e F espaços de Banach. Os principais resultados que iremos expor serão teoremas sobre a reflexividade de L (E; F) e P (mE; F).. No capítulo 2, estudamos alguns conceitos básicos da teoria de produtos tensoriais de espaç

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Augé, Jean-Matthieu. "Quelques problèmes de dynamique linéaire dans les espaces de Banach." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2012. http://tel.archives-ouvertes.fr/tel-00744968.

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Cette thèse est principalement consacrée à des problèmes de dynamique linéaire dans les espaces de Banach. Répondant à une question récente de Hájek et Smith, on construit notamment, dans tout espace de Banach séparable de dimension infinie, un opérateur borné tel que ses orbites tendent vers l'infini sur une partie ni vide, ni dense. On relie également, à l'aide d'un autre résultat, le module de lissité asymptotique au comportement des opérateurs bornés.

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Tocha, Neusa Nogas. "Zeros de polinômios e propriedades polinomiais em espaços de Banach." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-14012007-194635/.

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Neste trabalho temos por objetivo apresentar alguns resultados relacionados aos temas abordados por Aron, Choi e Llavona (1995), Aron e Dimant (2002) e Aron e Rueda (1997). Primeiramente, vamos estudar as propriedades polinomiais (P) e (RP) para os espaços de Banach e a propriedade ACL para as funções definidas entre as bolas unitárias fechadas do espaço. Vamos apresentar novos exemplos de espaços de Banach que possuem a propriedade (P) onde é possível exibir funções que satisfazem a propriedade ACL. Vamos ainda estudar o conjunto de continuidade seqüencial fraca de um polinômio N-homogêneo co

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45

Rupprecht, Christoph [Verfasser], Luise [Akademischer Betreuer] Blank, and Michael [Akademischer Betreuer] Hinze. "Projection type methods in Banach space with application in topology optimization / Christoph Rupprecht. Betreuer: Luise Blank ; Michael Hinze." Regensburg : Universitätsbibliothek Regensburg, 2016. http://d-nb.info/1098531167/34.

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46

Rupprecht, Christoph Verfasser], Luise [Akademischer Betreuer] Blank, and Michael [Akademischer Betreuer] [Hinze. "Projection type methods in Banach space with application in topology optimization / Christoph Rupprecht. Betreuer: Luise Blank ; Michael Hinze." Regensburg : Universitätsbibliothek Regensburg, 2016. http://nbn-resolving.de/urn:nbn:de:bvb:355-epub-337156.

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47

Yao, Xudong. "Minimax methods for finding multiple saddle critical points in Banach spaces and their applications." Diss., Texas A&M University, 2004. http://hdl.handle.net/1969.1/2732.

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This dissertation was to study computational theory and methods for ?nding multiple saddle critical points in Banach spaces. Two local minimax methods were developed for this purpose. One was for unconstrained cases and the other was for constrained cases. First, two local minmax characterization of saddle critical points in Banach spaces were established. Based on these two local minmax characterizations, two local minimax algorithms were designed. Their ?ow charts were presented. Then convergence analysis of the algorithms were carried out. Under certain assumptions, a subsequence convergenc

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48

Nascimento, Carlos Alberto do. "Estudo sobre espaços de Banach e de Hilbert com aplicações em equações diferenciais, integrais e teoria da aproximação." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/154152.

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Submitted by Carlos Alberto Do Nascimento (prof.math.edu@gmail.com) on 2018-06-04T20:15:40Z No. of bitstreams: 1 Dissertação.pdf: 2749900 bytes, checksum: d578113faba2ff3354a375ae6c4e7e1e (MD5)<br>Approved for entry into archive by Ana Paula Santulo Custódio de Medeiros null (asantulo@rc.unesp.br) on 2018-06-05T12:25:11Z (GMT) No. of bitstreams: 1 nascimento_ca_me_rcla.pdf: 2739624 bytes, checksum: c8831bbd095a228cff3121b4621d7091 (MD5)<br>Made available in DSpace on 2018-06-05T12:25:12Z (GMT). No. of bitstreams: 1 nascimento_ca_me_rcla.pdf: 2739624 bytes, checksum: c8831bbd095a228cff3121b

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Bertoin, Jean. "Processus de Dirichlet." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb37602956z.

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50

Assani, Idris. "Contribution à la théorie ergodique des opérateurs dans les espaces ℓp, 1 plus petit ou égal que p plus petit ou égal que plus l'infini : applications multivoques a valeurs dans un espace de Banach". Paris 6, 1986. http://www.theses.fr/1986PA066010.

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Convergence ponctuelle de quelques suites d'opérateurs. Operateurs à puissances bornées et le théorème ergodique ponctuel dans ℓp(0,1), 1<p<+infini. Théorème ergodique ponctuel et local pour des opérateurs de puissances non positives bornés dans ℓp(c) (0,1), 1<p<+infini. Contractions de ℓ 1 et transformations non singulières à moyennes bornées dans ℓp. Estimations locales dominées pour des moyennes pondérées d'opérateurs positifs. Systèmes orthogonaux et propriété ergodique par point. Inégalités maximales et propriétés ergodiques ponctuelles. Convergence de polynômes pn(t). Convergence ponctue

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