Nonmatricial version of the Arveson-Wittstock extension principle, and its generalization

摘要

We consider the algebra beta = beta(H) of bounded operators in a Hilbert space H, beta-bimodules, and morphisms of these bimodules into the algebra beta(L circle times H), where L is a Hilbert space. We study the problem of extension of a morphism defined on a sub-beta-bimodule Y subset of Z to Z. This problem is solved for Ruan bimodules.