The Russo-Dye Theorem in a weakly closed -module

Author:
Zhe Dong

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2257-2263

MSC (2000):
Primary 47L75

DOI:
https://doi.org/10.1090/S0002-9939-04-07141-2

Published electronically:
March 25, 2004

MathSciNet review:
2052401

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Abstract | References | Similar Articles | Additional Information

Abstract: Suppose that is admissible. It is shown that the convex hull of unitary elements of a weakly closed -module contains the whole unit ball of if and only if and for any , .

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Additional Information

**Zhe Dong**

Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China

Email:
dongzhe@zju.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-04-07141-2

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

Received by editor(s):
October 19, 2000

Published electronically:
March 25, 2004

Communicated by:
David R. Larson

Article copyright:
© Copyright 2004
American Mathematical Society