The Calculus of One-sided M-ideals And Multipliers in Operator Spaces
Vrej Zarikian David P. Blecher
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.
الفئات:
عام:
2005
الناشر:
American Mathematical Society
اللغة:
english
الصفحات:
85
ISBN 10:
0821838237
ISBN 13:
9780821838235
سلسلة الكتب:
Memoirs of the American Mathematical Society
ملف:
DJVU, 1.92 MB
IPFS:
,
english, 2005