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The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces
David P. BlecherVrej Zarikian
出版American Mathematical Soc., 2006
主題Mathematics / Algebra / GeneralMathematics / Algebra / Linear
ISBN08218382379780821838235
URLhttp://books.google.com.hk/books?id=2-nUCQAAQBAJ&hl=&source=gbs_api
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註釋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.