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M-Ideals in Banach Spaces and Banach Algebras
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Catalogue Information
Field name
Details
Dewey Class
515
Title
M-Ideals in Banach Spaces and Banach Algebras ([EBook] /) / by Peter Harmand, Dirk Werner, Wend Werner.
Author
Harmand, Peter
Added Personal Name
Werner, Dirk
author.
Werner, Wend
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1993.
Physical Details
VIII, 396 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1547
ISBN
9783540477532
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0084355
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Mathematical analysis
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Mathematics
.
Authors:
Harmand, Peter
.
Werner, Dirk
.
Werner, Wend
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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