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Biorthogonal Systems in Banach Spaces

Biorthogonal Systems in Banach Spaces

Hardcover

Series: CMS Books in Mathematics

General MathematicsComputer Security

ISBN10: 0387689141
ISBN13: 9780387689142
Publisher: Springer Nature
Published: Nov 15 2007
Pages: 339
Weight: 1.38
Height: 0.84 Width: 6.51 Depth: 9.37
Language: English

One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems. This book introduces the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces, in a manner accessible to graduate students and researchers with a foundation in Banach space theory. Numerous exercises are included, and the only prerequisites are a basic background in functional analysis.

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General Mathematics