M-ideals in Banach spaces and Banach algebras / P. Harmand, D. Werner, W. Werner

Auteur principal : Harmand, Pierre-Olivier, 1974-, AuteurCo-auteur : Werner, Dirk, 1955-, Auteur • Werner, Wend, 1958-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 1547Langue : anglais.Pays: Allemagne, Etats Unis.Éditeur : Berlin, New York : Springer-Verlag, cop. 1993Description : 1 vol. (VIII-387 p.) ; 24 cmISBN: 354056814X; 038756814X.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 345-375. Index.Sujet MSC : 46B20, Functional analysis - Normed linear spaces and Banach spaces; Banach lattices, Geometry and structure of normed linear spaces
46B25, Functional analysis - Normed linear spaces and Banach spaces; Banach lattices, Classical Banach spaces in the general theory
46B22, Functional analysis - Normed linear spaces and Banach spaces; Banach lattices, Radon-Nikodým, Kreĭn-Milman and related properties
46B28, Functional analysis - Normed linear spaces and Banach spaces; Banach lattices, Spaces of operators; tensor products; approximation propertiesEn-ligne : Springerlink
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Bibliogr. p. 345-375. Index

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. (Source : Springer)

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