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M-Ideals in Banach Spaces and Banach Algebras
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168 b
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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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