M-Ideals in Banach Spaces and Banach Algebras

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Synopsis

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.

Book details

Edition:
1993
Series:
Lecture Notes in Mathematics (Book 1547)
Author:
Peter Harmand, Dirk Werner, Wend Werner
ISBN:
9783540477532
Related ISBNs:
9783540568148
Publisher:
Springer Berlin Heidelberg
Pages:
N/A
Reading age:
Not specified
Includes images:
No
Date of addition:
2022-08-17
Usage restrictions:
Copyright
Copyright date:
1993
Copyright by:
N/A 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction