The weak* similarity property on dual operator algebras |
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Authors: | Christian Le Merdy |
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Institution: | 1. équipe de Mathématiques-UMR 6623, Université de Franche-Comté, 25030, Besan?on Cedex, France
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Abstract: | This paper is devoted to dual operator algebras, that isw
*-closed algebras of bounded operators on Hilbert space. We investigate unital dual operator algebrasA with the following weak* similarity property: for every Hilbert spaceH, anyw
*-continuous unital homomorphism fromA intoB(H) is completely bounded and thus similar to a contractive one. We develop a notion of dual similarity degree for these algebras,
in analogy with some recent work of Pisier on the similarity problem on operator algebras. |
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Keywords: | 47D27 46L10 46B28 |
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