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

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The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces is written by David P. Blecher and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821838237 (ISBN 10) and 9780821838235 (ISBN 13).

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.