M-Ideals in Banach Spaces and Banach Algebras

1. Auflage 1993
ISBN: 978-3-540-56814-8
Verlag: Springer

Buch, Englisch, Band 1547, 396 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1250 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Harmand, Peter

Werner, Dirk

Werner, Wend

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.