منابع مشابه
Operator Algebras and Dual Spaces
1. An isomorphism theorem. In this paper we discuss a particular method of introducing a convolution product into certain topological linear spaces so that they become algebras. The space in each case will be essentially the dual space of a linear space of continuous functions, and arises in the study of general group algebras and in the theory of distributions. Let G be a topological group, wr...
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In a previous paper we showed how the main theorems characterizing operator algebras and operator modules, fit neatly into the framework of the ‘noncommutative Shilov boundary’, and more particularly via the left multiplier operator algebra of an operator space. As well as giving new characterization theorems, the approach of that paper allowed many of the hypotheses of the earlier theorems to ...
متن کاملStably Isomorphic Dual Operator Algebras
We prove that two unital dual operator algebras A,B are stably isomorphic if and only if they are ∆-equivalent [7], if and only if they have completely isometric normal representations α, β on Hilbert spaces H,K respectively and there exists a ternary ring of operators M ⊂ B(H,K) such that α(A) = [M∗β(B)M]−w and β(B) = [Mα(A)M∗]−w .
متن کاملOperator Algebras on L Spaces Which “look Like” C*-algebras
This talk is a survey of operator algebras on L spaces which “look like” C*algebras. Its aim is to give a general impression of the field, and why I am hopeful that there is a rich theory waiting to be discovered. It does not aim to have you remember technical details, or even the precise statements of all the theorems. This file contains more than will be in the talk. Warning: It has not been ...
متن کاملA Morita Theorem for Dual Operator Algebras
We prove that two dual operator algebras are weak Morita equivalent in the sense of [4] if and only if they have equivalent categories of dual operator modules via completely contractive functors which are also weakcontinuous on appropriate morphism spaces. Moreover, in a fashion similar to the operator algebra case we can characterize such functors as the module normal Haagerup tensor product ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1952
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1952-0050180-5