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• W1979567889 abstract "Suppose A is a dual Banach algebra, and a representation π : A → B ( ℓ 2 ) is unital, weak * continuous, and contractive. We use a “Hilbert–Schmidt version” of Arveson distance formula to construct an operator space X , isometric to ℓ 2 ⊗ ℓ 2 , such that the space of completely bounded maps on X consists of Hilbert–Schmidt perturbations of π ( A ) ⊗ I ℓ 2 . This allows us to establish the existence of operator spaces with various interesting properties. For instance, we construct an operator space X for which the group K 1 ( CB ( X ) ) contains Z 2 as a subgroup, and a completely indecomposable operator space containing an infinite dimensional homogeneous Hilbertian subspace." @default.
• W1979567889 created "2016-06-24" @default.
• W1979567889 creator A5059386236 @default.
• W1979567889 date "2005-07-01" @default.
• W1979567889 modified "2023-09-24" @default.
• W1979567889 title "Operator spaces with prescribed sets of completely bounded maps" @default.
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• W1979567889 doi "https://doi.org/10.1016/j.jfa.2004.10.018" @default.
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