M-Ideals in Banach Spaces and Banach Algebras / by Peter Harmand, Dirk Werner, Wend Werner.

Format:

Book

Author/Creator:

Harmand, P. (Peter), 1953- author.

Werner, D. (Dirk), 1955- author.

Werner, W. (Wend), 1958- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1547.

Lecture Notes in Mathematics, 0075-8434 ; 1547

Language:

English

Subjects (All):

Global analysis (Mathematics).

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (VIII, 396 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.

System Details:

text file PDF

Summary:

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:

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.

Other Format:

Printed edition:

ISBN:

9783540477532

Access Restriction:

Restricted for use by site license.