Descriptive Topology And Functional Analysis
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Descriptive Topology In Selected Topics Of Functional Analysis
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Author : Jerzy Kąkol
language : en
Publisher: Springer Nature
Release Date : 2025-01-31
Descriptive Topology In Selected Topics Of Functional Analysis written by Jerzy Kąkol and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-31 with Mathematics categories.
A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. Written by experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descriptive topology, modern analysis, set theory, topological vector spaces, including Banach spaces, and continuous function spaces. This second edition continues in the same spirit of the acclaimed first edition, providing new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis. It has been expanded by adding completely new Chapters 17–21, presenting results concerning, but not limited to, topological spaces and groups with G-bases, various concepts related to networks and their applications in topology and functional analysis, and those that develop topological and analytic methods related to Grothendieck Banach spaces and Boolean algebras with the Nikodym property. The book will continue to serve as a reference for present and future work done in this area and could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces.
Descriptive Topology And Functional Analysis
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Author : Juan Carlos Ferrando
language : en
Publisher: Springer
Release Date : 2014-07-31
Descriptive Topology And Functional Analysis written by Juan Carlos Ferrando and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-31 with categories.
Descriptive Topology In Selected Topics Of Functional Analysis
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Author : Jerzy Kąkol
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-30
Descriptive Topology In Selected Topics Of Functional Analysis written by Jerzy Kąkol and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-30 with Mathematics categories.
"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Descriptive Topology And Functional Analysis Ii
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Author : Juan Carlos Ferrando
language : en
Publisher: Springer
Release Date : 2019-06-02
Descriptive Topology And Functional Analysis Ii written by Juan Carlos Ferrando and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-02 with Mathematics categories.
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Descriptive Topology And Functional Analysis
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Author : Juan Carlos Ferrando
language : en
Publisher: Springer
Release Date : 2016-09-17
Descriptive Topology And Functional Analysis written by Juan Carlos Ferrando and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-17 with Mathematics categories.
Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach spaces, Banach algebras and operator theory. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter. Each chapter can almost be seen as a survey covering a particular area.
Applications Of Descriptive Topology In Functional Analysis
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Author : Charles Stegall
language : en
Publisher:
Release Date : 1985*
Applications Of Descriptive Topology In Functional Analysis written by Charles Stegall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985* with categories.
Topology And Borel Structure
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-08-26
Topology And Borel Structure written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
Topology and Borel Structure
Descriptive Topology And Functional Analysis Ii
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Author : Juan Carlos Ferrando
language : en
Publisher:
Release Date : 2019
Descriptive Topology And Functional Analysis Ii written by Juan Carlos Ferrando and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Functional analysis categories.
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lâopez-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is particularly useful to young researchers wanting to learn about the latest developments in these areas.
Theorems And Problems In Functional Analysis
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Author : A. A. Kirillov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theorems And Problems In Functional Analysis written by A. A. Kirillov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.
Topology And Borel Structure
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Author : Jens Peter Reus Christensen
language : en
Publisher:
Release Date : 1974
Topology And Borel Structure written by Jens Peter Reus Christensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Notas de matematica, 51.