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

Released on by David P. Blecher
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  • The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces Book Detail

  • Author : David P. Blecher
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 102
  • ISBN 13 : 0821838237
  • File Size : 3,3 MB
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The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces by David P. Blecher PDF Summary

Book Description: 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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