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M-Ideals in Banach Spaces and Banach Algebras

English · Paperback / Softback

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Description

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This book provides a comprehensive exposition of M-idealtheory, a branch ofgeometric functional analysis whichdeals with certain subspaces of Banach spaces arisingnaturally in many contexts. Starting from the basicdefinitions the authors discuss a number of examples ofM-ideals (e.g. the closed two-sided ideals of C*-algebras)and develop their general theory. Besides, applications toproblems from a variety of areas including approximationtheory, harmonic analysis, C*-algebra theory and Banachspace geometry are presented.The book is mainly intended as a reference volume forresearchers working in one of these fields, but it alsoaddresses students at the graduate or postgraduate level.Each of its six chapters is accompanied by aNotes-and-Remarks section which explores furtherramifications of the subject and gives detailed referencesto the literature. An extensive bibliography is included.

List of contents

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.

About the author

Dirk Werner unterrichtet Mathematik an der FU Berlin. Die Forschungsinteressen von Dirk Werner liegen auf dem Gebiet der Funktionalanalysis.

Product details

Authors Peter Harmand, Dirk Werner, Wend Werner
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 01.07.2009
 
EAN 9783540568148
ISBN 978-3-540-56814-8
No. of pages 396
Dimensions 156 mm x 237 mm x 24 mm
Weight 608 g
Illustrations VIII, 396 p.
Series Lecture Notes in Mathematics
Lecture Notes in Mathematics, Volume 1547
Lecture Notes in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis

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