Extreme points of weakly closed $\mathcal {T(N)}$–modules
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- by Dong Zhe and Lu Shijie PDF
- Proc. Amer. Math. Soc. 130 (2002), 461-469 Request permission
Abstract:
In this paper, we first characterize the rank one operators in the preannihilator $\mathcal {U}_{\bot }$ of a weakly closed $\mathcal {T(N)}$–module $\mathcal {U}$. Using this characterization for the rank one operators in $\mathcal {U}_{\bot }$, a complete description of the extreme points of the unit ball $\mathcal {U}_{1}$ is given. Finally, we show how to apply the techniques of the present paper to other operator systems and characterize their extreme points.References
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Additional Information
- Dong Zhe
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
- Address at time of publication: Institute of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- Email: dzhe8@china.com
- Lu Shijie
- Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
- Received by editor(s): November 15, 1999
- Received by editor(s) in revised form: June 26, 2000
- Published electronically: July 25, 2001
- Additional Notes: This work was supported by the National Natural Science Foundation of China.
- Communicated by: David R. Larson
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 461-469
- MSC (2000): Primary 47L75
- DOI: https://doi.org/10.1090/S0002-9939-01-06075-0
- MathSciNet review: 1862126