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Dissertations / Theses on the topic 'Operators on functions spaces'

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Published: 17 September 2021
Last updated: 30 July 2025

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1

Beltrán, Meneu María José. "Operators on wighted spaces of holomorphic functions." Doctoral thesis, Universitat Politècnica de València, 2014. http://hdl.handle.net/10251/36578.

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The Ph.D. Thesis ¿Operators on weighted spaces of holomorphic functions¿ presented here treats different areas of functional analysis such as spaces of holomorphic functions, infinite dimensional holomorphy and dynamics of operators. After a first chapter that introduces the notation, definitions and the basic results we will use throughout the thesis, the text is divided into two parts. A first one, consisting of Chapters 1 and 2, focused on a study of weighted (LB)-spaces of entire functions on Banach spaces, and a second one, corresponding to Chapters 3 and 4, where we consider diffe
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2

Abbott, Catherine Ann. "Operators on Continuous Function Spaces and Weak Precompactness." Thesis, University of North Texas, 1988. https://digital.library.unt.edu/ark:/67531/metadc331171/.

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If T:C(H,X)-->Y is a bounded linear operator then there exists a unique weakly regular finitely additive set function m:-->L(X,Y**) so that T(f) = ∫Hfdm. In this paper, bounded linear operators on C(H,X) are studied in terms the measure given by this representation theorem. The first chapter provides a brief history of representation theorems of these classes of operators. In the second chapter the represenation theorem used in the remainder of the paper is presented. If T is a weakly compact operator on C(H,X) with representing measure m, then m(A) is a weakly compact operator for every Borel
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3

Raidjõe, Annemai. "Sequence spaces defined by modulus functions and superposition operators /." Online version, 2006. http://dspace.utlib.ee/dspace/bitstream/10062/513/5/raidjoeannemai.pdf.

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4

Zarco, García Ana María. "Weighted Banach spaces of harmonic functions." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/56461.

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[EN] The Ph.D. thesis "Weighted Banach Spaces of harmonic functions" presented here, treats several topics of functional analysis such as weights, composition operators, Fréchet and Gâteaux differentiability of the norm and isomorphism classes. The work is divided into four chapters that are preceded by one in which we introduce the notation and the well-known properties that we use in the proofs in the rest of the chapters. In the first chapter we study Banach spaces of harmonic functions on open sets of R^d endowed with weighted supremun norms. We define the harmonic associated weight, w
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5

Manca, Luigi. "Kolmogorov operators in spaces of continuous functions and equations for measures." Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85697.

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La thèse est consacrée à étudier les relations entre les Équations aux Derivées Partielles Stochastiques et l'operateur de Kolmogorov associé dans des espaces de fonctions continues.<br />Dans la première partie, la théorie de la convergence faibles des fonctions est mis au point afin de donner des résultats généraux sur les semi-groupes des Markov et leur générateur.<br />Dans la deuxième partie, des modèles de semi-groups de Markov associés à des équations aux dérivées partielles stochastiques sont étudiés. En particulier, Ornstein-Uhlenbeck, réaction-diffusion et équations de Burgers ont ét
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6

de, Jager Pierre. "Composition operators on Banach function spaces." Master's thesis, University of Cape Town, 2013. http://hdl.handle.net/11427/6619.

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The aim of this thesis is to provide a survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach lattices. These spaces are called Banach function spaces and examples include the Lebesgue, Lorentz, Orlicz and Orlicz-Lorentz spaces.
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7

Henthorn, Melanie Lea. "Examples of Diagonal Operators That Fail Spectral Synthesis on Spaces of Analytic Functions." Bowling Green State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1306437382.

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8

Oliver, Vendrell Roc. "Hankel operators on vector-valued Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2017. http://hdl.handle.net/10803/471520.

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The main goal of this work is to study vector-valued Bergman spaces and to obtain the weak factorization of these spaces. In order to do that we need to study small Hankel operators with operator-valued holomorphic symbols. We also study the big Hankel operator acting on vector-valued Bergman spaces. In Chapter 1 we collect all the previous results and notations needed to follow the rest of the manuscript. More concretely, some of the topics covered in this chapter are the Bochner integral, the integral for vector-valued functions appearing first in Bochner; the Bergman metric, results of t
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9

Lorson, Tobias [Verfasser], and Jürgen [Akademischer Betreuer] Müller. "Hadamard convolution operators on spaces of holomorphic functions / Tobias Lorson ; Betreuer: Jürgen Müller." Trier : Universität Trier, 2014. http://d-nb.info/1197699708/34.

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10

Cheong, Chi-weng. "Separating maps between function spaces." Click to view the E-thesis via HKUTO, 2008. http://sunzi.lib.hku.hk/hkuto/record/b40203347.

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11

Cheong, Chi-weng, and 張志榮. "Separating maps between function spaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2008. http://hub.hku.hk/bib/B40203347.

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12

Palmberg, Niklas. "Analytic function spaces : properties of operators and duality /." Åbo : Åbo akademis tryckeri, 2006. http://catalogue.bnf.fr/ark:/12148/cb41037087t.

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13

Harutyunyan, Anahit V. "Toeplitz operators and division theorems in anisotropic spaces of holomorphic functions in the polydisc." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2611/.

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This work is an introduction to anisotropic spaces, which have an ω-weight of analytic functions and are generalizations of Lipshitz classes in the polydisc. We prove that these classes form an algebra and are invariant with respect to monomial multiplication. These operators are bounded in these (Lipshitz and Djrbashian) spaces. As an application, we show a theorem about the division by good-inner functions in the mentioned classes is proved.
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14

Arroussi, Hicham. "Function and Operator Theory on Large Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/395175.

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The theory of Bergman spaces has been a central subject of study in complex analysis during the past decades. The book [7] by S. Bergman contains the first systematic treat-ment of the Hilbert space of square integrable analytic functions with respect to Lebesgue area measure on a domain. His approach was based on a reproducing kernel that became known as the Bergman kernel function. When attention was later directed to the spaces AP over the unit disk, it was natural to call them Bergman spaces. As counterparts of Hardy spaces, they presented analogous problems. However, although many problem
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15

Niedzialomski, Robert. "Extension of positive definite functions." Diss., University of Iowa, 2013. https://ir.uiowa.edu/etd/2595.

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Let $\Omega\subset\mathbb{R}^n$ be an open and connected subset of $\mathbb{R}^n$. We say that a function $F\colon \Omega-\Omega\to\mathbb{C}$, where $\Omega-\Omega=\{x-y\colon x,y\in\Omega\}$, is positive definite if for any $x_1,\ldots,x_m\in\Omega$ and any $c_1,\ldots,c_m\in \mathbb{C}$ we have that $\sum_{j,k=1}^m F(x_j-x_k)c_j\overline{c_k}\geq 0$. Let $F\colon\Omega-\Omega\to\mathbb{C}$ be a continuous positive definite function. We give necessary and sufficient conditions for $F$ to have an extension to a continuous
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16

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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17

Moubandjo, Desiree V. "Polynomial containment in refinement spaces and wavelets based on local projection operators." Thesis, Stellenbosch : Stellenbosch University, 2007. http://hdl.handle.net/10019.1/16418.

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18

Hein, Hoernig Ricardo Oliver. "Green's functions and integral equations for the Laplace and Helmholtz operators in impedance half-spaces." Phd thesis, Ecole Polytechnique X, 2010. http://pastel.archives-ouvertes.fr/pastel-00006172.

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Dans cette thèse on calcule la fonction de Green des équations de Laplace et Helmholtz en deux et trois dimensions dans un demi-espace avec une condition à la limite d'impédance. Pour les calculs on utilise une transformée de Fourier partielle, le principe d'absorption limite, et quelques fonctions spéciales de la physique mathématique. La fonction de Green est après utilisée pour résoudre numériquement un problème de propagation des ondes dans un demi-espace qui est perturbé de manière compacte, avec impédance, en employant des techniques des équations intégrales et la méthode d'éléments de f
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19

Schlackow, Iryna. "Classes of C(K) spaces with few operators." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:e16273c8-c5fd-4a68-a9ca-cd4edb350c5c.

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We investigate properties of Koszmider spaces. We show that if K and L are compact Hausdor spaces with no isolated points, K is Koszmider and C(K) is isomorphic to C(L), then K and L are homeomorphic and, in particular, L is also Koszmider. We also analyse topological properties of Koszmider spaces and show that a connected Koszmider space is strongly rigid. In addition to Koszmider spaces, we introduce the notion of weakly Koszmider spaces. Having established an alternative characterisation thereof, we show that, while it is evident that every Koszmider space is weakly Koszmider, the reverse
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20

Tarbard, Matthew. "Operators on Banach spaces of Bourgain-Delbaen type." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:4be220be-9347-48a1-85e6-eb0a30a8d51a.

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The research in this thesis was initially motivated by an outstanding problem posed by Argyros and Haydon. They used a generalised version of the Bourgain-Delbaen construction to construct a Banach space $XK$ for which the only bounded linear operators on $XK$ are compact perturbations of (scalar multiples of) the identity; we say that a space with this property has very few operators. The space $XK$ possesses a number of additional interesting properties, most notably, it has $ell_1$ dual. Since $ell_1$ possesses the Schur property, weakly compact and norm compact operators on $XK$ coincide.
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21

Schoeman, Ilse Maria. "A theory of multiplier functions and sequences and its applications to Banach spaces / I.M. Schoeman." Thesis, North-West University, 2005. http://hdl.handle.net/10394/975.

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22

Kenessey, Nicolas François [Verfasser], and Jochen [Akademischer Betreuer] Wengenroth. "Composition operators witch closed range between spaces of smooth functions / Nicolas François Kenessey ; Betreuer: Jochen Wengenroth." Trier : Universität Trier, 2013. http://d-nb.info/1197699295/34.

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23

Sehba, Benoit Florent. "Operators on some analytic function spaces and their dyadic counterparts." Thesis, University of Glasgow, 2009. http://theses.gla.ac.uk/1189/.

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In this thesis we consider several questions on harmonic and analytic functions spaces and some of their operators. These questions deal with Carleson-type measures in the unit ball, bi-parameter paraproducts and multipliers problem on the bitorus, boundedness of the Bergman projection and analytic Besov spaces in tube domains over symmetric cones. In part I of this thesis, we show how to generate Carleson measures from a class of weighted Carleson measures in the unit ball. The results are used to obtain boundedness criteria of the multiplication operators and Ces`aro integral-type operators
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24

Burtseva, Evgeniya. "Operators and Inequalities in various Function Spaces and their Applications." Licentiate thesis, Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-59666.

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This Licentiate thesis is devoted to the study of mapping properties of different operators (Hardy type, singular and potential) between various function spaces. The main body of the thesis consists of five papers and an introduction, which puts these papers into a more general frame. In paper A we prove the boundedness of the Riesz Fractional Integration Operator from a Generalized Morrey Space to a certain Orlicz-Morrey Space, which covers the Adams resultfor Morrey Spaces. We also give a generalization to the case of Weighted Riesz Fractional Integration Operators for a class of weights. In
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25

Kucherenko, Tamara. "The absolute functional calculus for sectorial operators." Diss., Columbia, Mo. : University of Missouri-Columbia, 2005. http://hdl.handle.net/10355/4155.

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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 (July 18, 2006) Vita. Includes bibliographical references.
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26

Caglar, Mert. "Invariant Subspaces Of Positive Operators On Riesz Spaces And Observations On Cd0(k)-spaces." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606391/index.pdf.

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The present work consists of two main parts. In the first part, invariant subspaces of positive operators or operator families on locally convex solid Riesz spaces are examined. The concept of a weakly-quasinilpotent operator on a locally convex solid Riesz space has been introduced and several results that are known for a single operator on Banach lattices have been generalized to families of positive or close-to-them operators on these spaces. In the second part, the so-called generalized Alexandroff duplicates are studied and CDsigma, gamma(K, E)-type spaces are investigated. It has then
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27

Seedat, Ebrahim. "A study of maximum and minimum operators with applications to piecewise linear payoff functions." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1001457.

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The payoff functions of contingent claims (options) of one variable are prominent in Financial Economics and thus assume a fundamental role in option pricing theory. Some of these payoff functions are continuous, piecewise-defined and linear or affine. Such option payoff functions can be analysed in a useful way when they are represented in additive, Boolean normal, graphical and linear form. The issue of converting such payoff functions expressed in the additive, linear or graphical form into an equivalent Boolean normal form, has been considered by several authors for more than half-a-centur
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28

Molnár, Lajos. "Selected preserver problems on algebraic structures of linear operators and on function spaces /." Berlin [u.a.] : Springer, 2007. http://www.gbv.de/dms/bs/toc/516441590.pdf.

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29

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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30

Kiehn, Christoph [Verfasser]. "Analytic semigroups of pseudodifferential operators on vector-valued function spaces / Christoph Kiehn." Aachen : Shaker, 2003. http://d-nb.info/1170543820/34.

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31

Lindner, Marko. "Limit Operators and Applications on the Space of Essentially Bounded Functions." Doctoral thesis, Universitätsbibliothek Chemnitz, 2003. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200301569.

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Die Dissertation untersucht die Invertierbarkeit im Unendlichen fuer Normgrenzwerte von Bandoperatoren - sogenannte band-dominierte Operatoren. Das dazu verwendete Instrument ist die Methode der Limitoperatoren. Es werden grundlegende Eigenschaften von Limitoperatoren bewiesen, Zusammenhaenge zur Invertierbarkeit im Unendlichen hergeleitet, sowie darueber hinaus gehende Anwendungen, z.B. zur Konvergenz von Projektionsverfahren, studiert.
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32

TRANQUILLI, GIORGIA. "Global normal forms and global properties in function spaces for second order Shubin type operators." Doctoral thesis, Università degli Studi di Cagliari, 2014. http://hdl.handle.net/11584/266479.

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We investigate the reduction to global normal forms of second order Shubin(or G) type differential operators P(x;D) in functional spaces on Rn. We describe the isomorphism properties of normal form transformations, introduced by L. Hormander for the study of affine symplectic transformations acting on pseudodifferential operators, in spaces like the Schwartz class, the weighted Shubin-Sobolev spaces and the Gelfand-Shilov spaces. We prove that the operator P(x;D) and the normal form PNF(x;D) have the same regularity/solvability and spectral properties. We also study the stability of global pro
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33

Okoudjou, Kasso Akochayé. "Characterization of function spaces and boundedness of bilinear pseudodifferential operators through Gabor frames." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/29372.

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34

Křepela, Martin. "The Weighted Space Odyssey." Doctoral thesis, Karlstads universitet, Institutionen för matematik och datavetenskap, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-41944.

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The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces. The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. Weighted Young-type convolution inequalities are obtained and an optimality property of involved domain spaces is proved. Additional provided information includes an overview of basic properties of some new function spaces appearing in the proven inequalities. In the next part, product-based bilinear and multilinear Hardy-type operators are invest
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35

Blaimer, Bettina [Verfasser]. "Optimal Domain and Integral Extension of Operators Acting in Fréchet Function Spaces / Bettina Blaimer." Berlin : Logos Verlag, 2017. http://d-nb.info/1147809267/34.

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36

Chen, Yuanyuan. "Continuity and compositions of operators with kernels in ultra-test function and ultra-distribution spaces." Doctoral thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-58076.

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In this thesis we consider continuity and positivity properties of pseudo-differential operators in Gelfand-Shilov and Pilipović spaces, and their distribution spaces. We also investigate composition property of pseudo-differential operators with symbols in quasi-Banach modulation spaces. We prove that positive elements with respect to the twisted convolutions, possesing Gevrey regularity of certain order at origin, belong to the Gelfand-Shilov space of the same order. We apply this result to positive semi-definite pseudo-differential operators, as well as show that the strongest Gevrey irregu
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37

Dillhage, Ruth [Verfasser]. "Computable functional analysis : compact operators on computable banach spaces and computable best approximation / Ruth Dillhage." Hagen : Fernuniversität Hagen, 2012. http://d-nb.info/1025601831/34.

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38

Lambert, Alex. "Learning function-valued functions in reproducible kernel Hilbert spaces with integral losses : Application to infinite task learning." Electronic Thesis or Diss., Institut polytechnique de Paris, 2021. http://www.theses.fr/2021IPPAT016.

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Les méthodes à noyaux sont au coeur de l'apprentissage statistique. Elles permettent de modéliser des fonctions à valeurs réelles dans des espaces de fonctions à fort potentiel représentatif, sur lesquels la minimisation de risques empiriques régularisés est possible et produit des estimateurs dont le comportement statistique est largement étudié. Lorsque les sorties ne sont plus réelles mais de plus grande dimension, les Espaces de Hilbert à Noyaux Reproduisants à valeurs vectorielles (vv-RKHSs) basés sur des Noyaux à Valeurs Opérateurs (OVKs) fournissent des espaces de fonctions similaires e
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Riel, Zachariah Charles. "On Certain Classes and Ideals of Operators on L1." Kent State University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1479753036578682.

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Deters, Ian Nathaniel. "On The Cyclicity And Synthesis Of Diagonal Operators On The Space Of Functions Analytic On A Disk." Bowling Green State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1236617862.

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Tytgat, Romaric. "Trace de Dixmier d'opérateurs de Hankel." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4772/document.

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Nous nous intéressons aux opérateurs de Hankel $H_{bar{f}}$ de symbole anti holomorphe $bar{f}$ et regardons l'espace de Dixmier $mathcal{D}^{p}$ associé ($pgeq1$), c'est à dire l'ensemble des $f$ tel que $|H_{bar{f}}|^{p}$ soit dans l'idéal de Macaev $mathcal{S}^{+}_{1}$. Notre approche est de voir l'espace de Dixmier comme une certaine limite des classes de Schatten. Quand $f in mathcal{D}^{p}$, nous étudions $Tr_{omega}(|$H_{bar{f}}$|^{p})$ la trace de Dixmier de $|H_{bar{f}}|^{p}$. Nous redémontrons certains résultats classiques quand $f$ est holomorphe sur le disque alors que nous donnons
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42

Jatobá, Ariosvaldo Marques. "Tipos de holomorfia em espaços de Banach." [s.n.], 2008. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307327.

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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 2018-08-12T04:40:55Z (GMT). No. of bitstreams: 1 Jatoba_AriosvaldoMarques_D.pdf: 617454 bytes, checksum: b1f5fca80565a5a0f7b273ed5238b6ee (MD5) Previous issue date: 2008<br>Resumo: Neste trabalho introduzimos e estudamos os espaços das funções inteiras ?-holomorfas de tipo limitado. Em particular obtemos resultados de dualidade via a transformada de Borel e provamos resultados de existência e aproximação para
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Cerna, Maguina Bibiano Martin. "Operadores multilineares p-fatoraveis." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306107.

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Orientador: Mario Carvalho de Matos<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T22:15:35Z (GMT). No. of bitstreams: 1 CernaMaguina_BibianoMartin_D.pdf: 1394612 bytes, checksum: ca6a283533782089f15a071899a0ffd2 (MD5) Previous issue date: 2005<br>Resumo: Neste trabalho, damos uma generalização do conceito e da teoria das aplicações lineares p-fatoráveis para o caso multilinear. Fornecemos duas definições; baseadas na definição 2.2 chegamos a obter alguns resultados. Seguindo a id
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Bäcklund, Pierre. "Studies on boundary values of eigenfunctions on spaces of constant negative curvature." Doctoral thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8920.

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<p>This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.</p><p>The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. We consider geometrically finite hyperbolic cylinders with non-compact Riemann surfaces of finite area as cross sections. For these cylinders, we present a detailed investigation of the Bunke-Olbrich extension operator under the assumption that t
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45

Célariès, Benjamin. "Opérateurs et semi-groupes d’opérateurs sur des espaces de fonctions holomorphes : Applications à la théorie de l’universalité." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1077/document.

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Les travaux de cette thèse relèvent du domaine de la théorie des opérateurs, et se situent à l'interface de l'analyse complexe, de la théorie des semi-groupes et de la théorie de l'universalité. Le premier résultat principal de cette thèse relève de l'étude des opérateurs de composition sur des espaces de fonctions holomorphes : nous déterminons le spectre d'un opérateur de composition par un symbole de Koenigs sur l'espace des fonctions holomorphes sur le disque unité, et en déduisons des informations sur la forme générale du spectre des opérateurs de composition par un symbole de Koenigs sur
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Zeekoei, Elroy Denovanne. "A study of Dunford-Pettis-like properties with applications to polynomials and analytic functions on normed spaces / Elroy Denovanne Zeekoei." Thesis, North-West University, 2011. http://hdl.handle.net/10394/7586.

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Recall that a Banach space X has the Dunford-Pettis property if every weakly compact operator defined on X takes weakly compact sets into norm compact sets. Some valuable characterisations of Banach spaces with the Dunford-Pettis property are: X has the DPP if and only if for all Banach spaces Y, every weakly compact operator from X to Y sends weakly convergent sequences onto norm convergent sequences (i.e. it requires that weakly compact operators on X are completely continuous) and this is equivalent to “if (xn) and (x*n) are sequences in X and X* respectively and limn xn = 0 weakly and limn
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47

Ghenciu, Ioana. "Spaces of Compact Operators." Thesis, University of North Texas, 2004. https://digital.library.unt.edu/ark:/67531/metadc4463/.

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In this dissertation we study the structure of spaces of operators, especially the space of all compact operators between two Banach spaces X and Y. Work by Kalton, Emmanuele, Bator and Lewis on the space of compact and weakly compact operators motivates much of this paper. Let L(X,Y) be the Banach space of all bounded linear operators between Banach spaces X and Y, K(X,Y) be the space of all compact operators, and W(X,Y) be the space of all weakly compact operators. We study problems related to the complementability of different operator ideals (the Banach space of all compact, weakly comp
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48

Arhancet, Cédric. "Estimation de normes dans les espaces Lp non commutatifs et applications." Phd thesis, Université de Franche-Comté, 2011. http://tel.archives-ouvertes.fr/tel-00647348.

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Cette thèse présente quelques résultats d'analyse sur les espaces Lp le plus souvent non commutatifs.La première partie exhibe de large classes de contractions sur des espaces Lp non commutatifsqui vérifient l'analogue non commutatif de la conjecture de Matsaev. De plus, cette partie fournitune comparaison entre certaines normes apparaissant naturellement dans ce domaine. La deuxièmepartie traite des fonctions carrées. Le premier résultat principal énonce que si T est un opérateurR-Ritt sur un espace Lp alors les fonctions carrées associées sont équivalentes. Le second résultatprincipal est un
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49

Karaki, Muath. "Composition operators on model spaces." Doctoral thesis, Université Laval, 2015. http://hdl.handle.net/20.500.11794/25834.

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Cette thèse est consacrée à l'étude des opérateurs de composition sur les espaces modèles. Soit φ une fonction analytique du disque unité dans lui même et soit θ une fonction intérieure, c'est à dire une fonction holomorphe et bornée par 1 dont les limites radiales sur le cercle sont de module 1 presque partout par rapport à la mesure de Lebesgue. A cette fonction θ, on associe l'espace modèle Kθ, défini comme l'ensemble des fonctions f ∈ H2 qui sont orthogonales au sous-espace θH2. Ici H2 est l'espace de Hardy du disque unité. Ces sous-espaces sont importants en théorie des opérateurs car ils
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50

Kydyrmina, Nurgul. "Operators in Sobolev Morrey spaces." Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3423455.

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Morrey spaces were introduced by Charles Morrey in 1938. They are a useful tool in the regularity theory of partial differential equations, in real analysis and in mathematical physics. In the nineties of the XX century an active study of general Morrey-type spaces characterized by a functional parameter has started to develop. A number of results on boundedness of classical operators in general Morrey-type spaces were obtained. At the beginning of the XXI century there were new active developments in this area. In the last decade many mathematicians do research on smoothness spaces rel
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