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

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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 ...

The Calculus of One-Sided M-Ideals and Multipliers in Operator Spaces 2006, American Mathematical Society

ISBN-13: 9780821838235

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