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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…
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…
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…
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…