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The Russo-Dye Theorem in a weakly closed -module
Authors:Zhe Dong
Institution:Department of Mathematics, Zhejiang University, Hangzhou 310027, People's Republic of China
Abstract:Suppose that $\mathcal{N}$ is admissible. It is shown that the convex hull of unitary elements of a weakly closed $\mathcal{T(N)}$-module $\mathcal{U}$contains the whole unit ball of $\mathcal{U}$ if and only if $\widetilde {I}=I$ and for any $N>0$, $\widetilde N>0$.

Keywords:Russo-Dye Theorem  weakly closed $\mathcal{T(N)} $--module  unitary operator
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