Full Text:   <1153>

CLC number: O177

On-line Access: 

Received: 2003-09-10

Revision Accepted: 2003-12-31

Crosschecked: 0000-00-00

Cited: 0

Clicked: 2541

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

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


Share this article to: More

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

@article{title="Extreme points of norm closed nest algebra modules",
author="DONG Zhe",
journal="Journal of Zhejiang University Science A",
volume="5",
number="7",
pages="759~763",
year="2004",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2004.0759"
}

%0 Journal Article
%T Extreme points of norm closed nest algebra modules
%A DONG Zhe
%J Journal of Zhejiang University SCIENCE A
%V 5
%N 7
%P 759~763
%@ 1869-1951
%D 2004
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2004.0759

TY - JOUR
T1 - Extreme points of norm closed nest algebra modules
A1 - DONG Zhe
J0 - Journal of Zhejiang University Science A
VL - 5
IS - 7
SP - 759
EP - 763
%@ 1869-1951
Y1 - 2004
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2004.0759


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

[1] Anoussis, M., Katsoulis, E.G., 1996a. A non self-adjoint Russo-Dye theorem.Math. Ann.,304:685-699.

[2] Anoussis, M., Katsoulis, E.G., 1996b. Compact operators and the geometric structure ofC*-algebras.Proc. Amer. Math. Soc.,124:2115-2122.

[3] Arazy, J., Solel, B., 1990. Isometries of non self-adjoint operator algebras.J. Funct. Anal.,90:284-305.

[4] Davidson, K.R., 1998. The Russo-Dye theorem in nest algebras.Proc. Amer. Math. Soc.,126(10):3055-3059.

[5] Dong, Z., Lu, S.J., 2002. Extreme points of weakly closed Alg(N)-modules.Proc. Amer. Math. Soc.,130:461-469.

[6] Erdos, J.A., Power, S.C., 1982. Weakly closed ideals of nest algebras.J. Operator Theory,7:219-235.

[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.

[9] Moore, R.L., Trent, T.T., 1987. Extreme points of certain operator algebras.Indiana U. Math. J.,36:645-50.

[10] Moore, R.L., Trent, T.T., 1989. Isometries of nest algebras.J. Funct. Anal.,86:180-209.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE