Full Text:
<2525>
CLC number: O177
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 0
Clicked: 4097
Extreme points of norm closed nest algebra modules
| |||||||||||||
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.
[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>