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.
General
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