The theory of one-sided $M$-ideals and multipliers of operator spaces is simultaneously a generalization of classical $M$-ideals, ideals in operator algebras, and aspects of the theory of Hilbert $C^*$-modules and their maps. Here we give a systematic exposition of this theory. The main part of this memoir consists of a 'calculus' for one-sided $M$-ideals and multipliers, i.e. a collection of the properties of one-sided $M$-ideals and multipliers with respect to the basic constructions met in functional analysis. This is intended to be a reference tool for 'non commutative functional analysts' who may encounter a one-sided $M$-ideal or multiplier in their work.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Gewicht
ISBN-13
978-0-8218-3823-5 (9780821838235)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Introduction Preliminaries Spatial action Examples Constructions One-sided type decompositions and Morita equivalence Central $M$-structure for operator spaces Future directions Appendix A. Some results from Banach space theory Appendix B. Infinite matrices over an operator space Appendix. Bibliography.
