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# đź“™ Banach space theory: The basis for linear and nonlinear analysis by MariĂˇn Fabian, Petr Habala, Petr HĂˇjek, Vicente Montesinos, VĂˇclav Zizler (auth.) â€” free download

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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-NikodĂ˝m 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.

- Series:
**CMS Books in Mathematics** - Author:
**MariĂˇn Fabian, Petr Habala, Petr HĂˇjek, Vicente Montesinos, VĂˇclav Zizler (auth.)** - Year:
**2011** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**1441975144,9781441975140**

- File size:
**4 207 221** - Format:
**pdf**

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The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of its own and as an approach to control theory. The book deals with the theory of semi-linear differential inclusions in infinite dimensional spaces....

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Since its development by Leray and Schauder in the 1930's, degree theory in Banach spaces has proved to be an important tool in tackling many analytic problems, including boundary value problems in ordinary and partial differential equations, integral equ...

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