The Calculus of One-sided M-ideals And Multipliers in Operator Spaces
Vrej Zarikian David P. Blecher, "The Calculus of One-sided M-ideals And Multipliers in Operator Spaces"
English | ISBN: 0821838237 | 2005 | 102 pages | Djvu | 1 MB
English | ISBN: 0821838237 | 2005 | 102 pages | Djvu | 1 MB
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.