The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces
- ISBN-10
- 0821838237
- ISBN-13
- 9780821838235
- Category
- Operator algebras
- Pages
- 102
- Language
- English
- Published
- 2006
- Publisher
- American Mathematical Soc.
- Authors
- David P. Blecher, Vrej Zarikian
Description
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.
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