# zbMATH — the first resource for mathematics

An operator space characterization of dual operator algebras. (English) Zbl 0926.47054
Summary: This paper is devoted to dual algebras, that is $$w^*$$-closed algebras of bounded operators on Hilbert space. We give abstract characterizations of unital dual algebras (resp. dual algebra) up to $$w^*$$-homeomorphic unital complete isometry (resp. complete isomorphism). The results we obtain are natural $$w^*$$-versions of analogous characterizations due to Blecher-Ruan-Sinclair and Blecher respectively, in the category of operator algebras.

##### MSC:
 47L45 Dual algebras; weakly closed singly generated operator algebras 46L05 General theory of $$C^*$$-algebras
Full Text: