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

Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos, Vicente; Zizler, Václav

 
9781441975140: Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)
Hardcover
ISBN 10: 1441975144 ISBN 13: 9781441975140
Publisher: Springer, 2010

Synopsis

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" may belong to another edition of this title.

About the Author

All of the authors have previously published with Springer.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2010
Language
English
ISBN 10 
1441975144
ISBN 13 
9781441975140
Binding
Hardcover
Number of pages
833

Other Popular Editions of the Same Title

9781493941148: Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)

Featured Edition

ISBN 10:  1493941143 ISBN 13:  9781493941148
Publisher: Springer, 2016
Softcover