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Biorthogonal Systems in Banach Spaces

Biorthogonal Systems in Banach Spaces by Petr Hajek
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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.

Springer New York; October 2007
355 pages; ISBN 9780387689159
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Title: Biorthogonal Systems in Banach Spaces
Author: Petr Hajek; Vicente Montesinos Santalucia; Jon Vanderwerff; Vaclav Zizler
 
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