The calculus of one-sided M-ideals and multipliers in operator spaces
著者
書誌事項
The calculus of one-sided M-ideals and multipliers in operator spaces
（Memoirs of the American Mathematical Society, no. 842）
American Mathematical Society, 2006
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注記
"January 2006, volume 179, number 842 (first of 5 numbers)."
Includes bibliographical references (p. 83-85)
内容説明・目次
内容説明
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 'non commutative functional analysts' who may encounter a one-sided $M$-ideal or multiplier in their work.
目次
Introduction Preliminaries Spatial action Examples Constructions One-sided type decompositions and Morita equivalence Central $M$-structure for operator spaces Future directions Appendix A. Some results from Banach space theory Appendix B. Infinite matrices over an operator space Appendix. Bibliography.
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