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Peter Harmand : M-Ideals in Banach Spaces and Banach Algebras (Lecture Notes in Mathematics)
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Author: Peter Harmand
Title: M-Ideals in Banach Spaces and Banach Algebras (Lecture Notes in Mathematics)
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Topics:
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Published in: German (Germany)
Binding: Paperback
Pages: 396
Date: 1993-07-29
ISBN: 354056814X
Publisher: Springer
Weight: 1.32 pounds
Size: 6.06 x 0.83 x 9.06 inches
Edition: 1993
Description: Product Description
This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.
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