Nonmatricial version of the Arveson-Wittstock extension principle,and its generalization |
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| Authors: | A. Ya. Helemskii |
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| Affiliation: | (1) Moscow State University, Moscow, Russia |
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| Abstract: | We consider the algebra ? = ?(H) of bounded operators in a Hilbert space H, ?-bimodules, and morphisms of these bimodules into the algebra ?(L ? H), where L is a Hilbert space. We study the problem of extension of a morphism defined on a sub-?-bimodule Y ? Z to Z. This problem is solved for Ruan bimodules. |
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| Keywords: | Ruan bimodule bimodule tensor product q-norm q-space completely bounded operator Arveson-Wittstock theorem |
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