Functional Analysis and Infinite-dimensional Geometry PDF ePub eBook

Books Info:

Functional Analysis and Infinite-dimensional Geometry free pdf This book introduces the reader to the basic principles of functional analysis and to areas of Banach space theory that are close to nonlinear analysis and topology. In the first part, the book develops the classical theory, including weak topologies, locally convex spaces, Schauder bases, and compact operator theory. The presentation is self-contained, including many folklore results, and the proofs are accessible to students with the usual background in real analysis and topology. The second part covers topics in convexity and smoothness, finite representability, variational principles, homeomorphisms, weak compactness and more. Several results are published here for the first time in a monograph. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints. The book is also directed to young researchers in functional analysis and can serve as a reference book.

About Marian Fabian

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Details Book

Author : Marian Fabian
Publisher : Springer-Verlag New York Inc.
Data Published : 01 June 2001
ISBN : 0387952195
EAN : 9780387952192
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 464 pages
Age + : 15 years
Language : English
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