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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.7 P.759-763

http://doi.org/10.1631/jzus.2004.0759


Extreme points of norm closed nest algebra modules


Author(s):  DONG Zhe

Affiliation(s):  Department of Mathematics, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   dongzhe@zju.edu.cn

Key Words:  Extreme point, Nest algebra module, Rank one operator


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DONG Zhe. Extreme points of norm closed nest algebra modules[J]. Journal of Zhejiang University Science A, 2004, 5(7): 759-763.

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Abstract: 
Suppose that U is a norm closed nest algebra module. Using the characterization of rank one operators in U, a complete description of the extreme points of the unit ball U1 is given.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[7] Hudson, T.D., Katsoulis, E.G., Larson, D.R., 1997. Extreme points in triangular UHF algebras.Trans. Amer. Math. Soc.,349:3391-3400.

[8] Kadison, R.V., 1951. Isometries of operator algebras.Ann. of Math.,54(2):325-38.

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