M-Ideals in Banach Spaces and Banach Algebras

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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.