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

David P. Blecher·Vrej Zarikian
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Abstract

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; a reference tool for `noncommutative functional analysts' who may encounter a one-sided $M$-ideal or multiplier in their work.

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David P. Blecher, Vrej Zarikian. 2003-09-02. The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces. https://arxiv.org/abs/math/0309046

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