TY - BOOK AU - Harmand,Peter AU - Werner,Dirk AU - Werner,Wend ED - SpringerLink (Online service) TI - M-Ideals in Banach Spaces and Banach Algebras T2 - Lecture Notes in Mathematics, SN - 9783540477532 AV - QA299.6-433 U1 - 515 23 PY - 1993/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Global analysis (Mathematics) KW - Analysis N1 - Basic theory of M-ideals -- Geometric properties of M-ideals -- Banach spaces which are M-ideals in their biduals -- Banach spaces which are L-summands in their biduals -- M-ideals in Banach algebras -- M-ideals in spaces of bounded operators N2 - 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 UR - http://dx.doi.org/10.1007/BFb0084355 ER -