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Banach Space Theory

The Basis for Linear and Nonlinear Analysis

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-1-4419-7515-7 / 978-1441975157 / 9781441975157

Verlag: Springer US

Erscheinungsdatum: 04.02.2011

Seiten: 820

Autor(en): Marian Fabian, Petr Habala, Petr Hajek, Vicente Montesinos Santalucia, Vaclav Zizler, Vicente Montesinos

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