Banach Space Theory - The Basis for Linear and Nonlinear Analysis (Paperback, Softcover reprint of the original 1st ed. 2011)

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-Nikodym 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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	CMS Books in Mathematics
Release date:	August 2016
First published:	2011
Authors:	Marian Fabian • Petr Habala • Petr Hajek • Vicente Montesinos • Vaclav Zizler
Dimensions:	235 x 155 x 42mm (L x W x T)
Format:	Paperback
Pages:	820
Edition:	Softcover reprint of the original 1st ed. 2011
ISBN-13:	978-1-4939-4114-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Topology > General
LSN:	1-4939-4114-3
Barcode:	9781493941148

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