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Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)

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Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

Synopsis:

This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Coverage includes Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products, and more.

About the Author

All of the authors have previously published with Springer.

Table of Contents

Preface.- Basic Concepts in Banach Spaces.- Hahn-Banach and Banach Open Mapping Theorems.- Weak Topologies and Banach Spaces.- Schauder Bases.- Structure of Banach Spaces.- Finite-Dimensional Spaces.- Optimization.- C^1 Smoothness in Separable Spaces.- Superreflexive Spaces.- Higher Order Smoothness.- Dentability and differentiability.- Basics in Nonlinear Geometric Analysis.- Weakly Compactly Generated Spaces.- Topics in Weak Topologies on Banach Spaces.- Compact Operators on Banach Spaces.- Tensor Products.- Appendix.- References.- Symbol Index.- Subject Index.- Author Index.

Product Details

ISBN:
9781441975140
Author:
Fabian, Marian
Publisher:
Springer
Author:
Zizler, Vaclav
Author:
Habala, Petr
Author:
Montesinos, Vicente
Author:
Hjek, Petr
Author:
Hajek, Petr
Author:
Fabian, Marin
Author:
Zizler, Vclav
Subject:
Functional Analysis
Subject:
Topology - General
Subject:
Radon-Nikodm property
Subject:
infinite-dimensional Banach space theory
Subject:
Topology
Subject:
Mathematics : Functional Analysis
Copyright:
Edition Description:
2011
Series:
CMS Books in Mathematics
Publication Date:
20101215
Binding:
HARDCOVER
Language:
English
Pages:
836
Dimensions:
235 x 155 mm 2950 gr

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » Topology

Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics) New Hardcover
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$140.25 In Stock
Product details 836 pages Not Avail - English 9781441975140 Reviews:
"Synopsis" by , This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Coverage includes Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products, and more.
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