M-Ideals in Banach Spaces and Banach Algebras

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