The Calculus of One-Sided M-Ideals and Multipliers in Operator Spaces

David P. Blecher, Vrej Zarikian - Collection Memoirs of the American Mathematical Society

86 pages, parution le 29/06/2006

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Résumé

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 "noncommutative functional analysts" who may encounter a one-sided M-ideal or multiplier in their work.

Sommaire

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
Bibliography

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	PAPIER
Éditeur(s)	American Mathematical Society (AMS)
Auteur(s)	David P. Blecher, Vrej Zarikian
Collection	Memoirs of the American Mathematical Society
Parution	29/06/2006
Nb. de pages	86
Format	17,5 x 25
Couverture	Broché
Poids	208g
Intérieur	Noir et Blanc
EAN13	9780821838235
ISBN13	978-0-8218-3823-5