activity
19992004
most citedThe Calculus of One-Sided -Ideals and Multipliers in Operator Spaces

33 citations · 75 across the 9 of their papers we have counts for

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Showing 1999 · math.OAShow all

6 papers · 2 filters

math.OA1999

Multipliers of operator spaces, and the injective envelope

David P. Blecher, Vern I. Paulsen

We study the injective envelope I(X) of an operator space X, showing amongst other things that it is a self-dual Cmodule. We describe the diagonal corners of the injective env…

math.OA1999

On function and operator modules

David P. Blecher, Christian Le Merdy

Let be a unital Banach algebra. We give a characterization of the left Banach -modules for which there exists a commutative unital -algebra , a linear isometr…

math.OA1999

On Morita's Fundamental Theorem for C*-algebras

David P. Blecher

We give a solution, via operator spaces, of an old problem in the Morita equivalence of C*-algebras. Namely, we show that C*-algebras are strongly Morita equivalent in the sense of…

math.OA1999

Modules over operator algebras, and the maximal C^*-dilation

David P. Blecher

We continue our study of the general theory of possibly nonselfadjoint algebras of operators on a Hilbert space, and modules over such algebras, developing a little more technology…

math.OA1999

A Morita theorem for algebras of operators on Hilbert space

David P. Blecher

We show that two operator algebras are strongly Morita equivalent (in the sense of Blecher, Muhly and Paulsen) if and only if their categories of operator modules are equivalent vi…

math.OA1999

The Shilov boundary of an operator space - and the characterization theorems

David P. Blecher

We study operator spaces, operator algebras, and operator modules, from the point of view of the `noncommutative Shilov boundary'. In this attempt to utilize some `noncommutative C…