Applications Of Descriptive Topology In 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 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.

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.

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.

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.

Topological Vector Spaces And Their Applications

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Author : V.I. Bogachev
language : en
Publisher: Springer
Release Date : 2017-05-16

Topological Vector Spaces And Their Applications written by V.I. Bogachev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-16 with Mathematics categories.

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

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

Recent Progress In General Topology

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Author : M. Husek
language : en
Publisher: Elsevier
Release Date : 1992-11-20

Recent Progress In General Topology written by M. Husek and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-20 with Mathematics categories.

These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991. This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

Hardy Martingales

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Author : Paul F. X. Müller
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-14

Hardy Martingales written by Paul F. X. Müller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with Mathematics categories.

This book presents the probabilistic methods around Hardy martingales for applications to complex, harmonic, and functional analysis.

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.