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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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20 papers · 1 filter

math.OA20042 cited

Characterizations of noncommutative

David P. Blecher, Louis E. Labuschagne

We transfer a large part of the circle of theorems characterizing the generalization of classical known as `weak* Dirichlet algebras', to Arveson's noncommutative settin…

math.OA2004

Duality and Operator Algebras II: Operator Algebras as Banach Algebras

David P. Blecher, Bojan Magajna

We answer, by counterexample, several open questions concerning algebras of operators on a Hilbert space. The answers add further weight to the thesis that, for many purposes, such…

math.OA20044 cited

Duality and operator algebras

David P. Blecher, Bojan Magajna

We investigate some subtle and interesting phenomena in the duality theory of operator spaces and operator algebras. In particular, we give several applications of operator space t…

math.OA2003

Ordered C*-modules

David P. Blecher, Wend Werner

In this first part of a study of ordered operator spaces, we develop the basic theory of `ordered C*-bimodules'. A crucial role is played by `open central tripotents', a JB*-triple…

math.OA200333 cited

The Calculus of One-Sided -Ideals and Multipliers in Operator Spaces

David P. Blecher, Vrej Zarikian

The theory of one-sided -ideals and multipliers of operator spaces is simultaneously a generalization of classical -ideals, ideals in operator algebras, and aspects of the th…

math.OA2003

Multipliers between two operator spaces

David P. Blecher

In a recent survey paper we introduced one-sided multipliers between two different operator spaces. Here we give some basic theory for these maps.