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

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 too...

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Bibliographic Details
Published in:arXiv.org 2003-09
Main Authors: Blecher, David P, Zarikian, Vrej
Format: Article
Language:English
Subjects:
Mathematical analysis
Multipliers
Online Access:Get full text
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Summary: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.
ISSN:2331-8422