M-Ideals in Banach Spaces and Banach Algebras

By Peter Harmand, Dirk Werner, Wend Werner, et al.

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.

• Format: Paperback
• Language: English
• ISBN: 354056814X
• ISBN13: 9783540568148
• Release Date: July 1993
• Publisher: Springer
• Length: 396 Pages
• Weight: 1.24 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"