eBook ISBN: | 978-1-4704-0443-7 |
Product Code: | MEMO/179/842.E |
List Price: | $68.00 |
MAA Member Price: | $61.20 |
AMS Member Price: | $40.80 |
eBook ISBN: | 978-1-4704-0443-7 |
Product Code: | MEMO/179/842.E |
List Price: | $68.00 |
MAA Member Price: | $61.20 |
AMS Member Price: | $40.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 179; 2006; 85 ppMSC: Primary 46
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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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Spatial action
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4. Examples
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5. Constructions
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6. One-sided type decompositions and Morita equivalence
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7. Central $M$-structure for operator spaces
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8. Future directions
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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 intended to be a reference tool for ‘noncommutative functional analysts’ who may encounter a one-sided \(M\)-ideal or multiplier in their work.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Spatial action
-
4. Examples
-
5. Constructions
-
6. One-sided type decompositions and Morita equivalence
-
7. Central $M$-structure for operator spaces
-
8. Future directions