Discrete spectra of C*-algebras and complemented submodules in Hilbert C*-modules

被引：4
|
作者：
Kusuda, M [1 ]
机构：
[1] Kansai Univ, Fac Engn, Dept Math, Osaka 5648680, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 10期
关键词：
Hilbert C*-module; complemented subspace;
D O I：
10.1090/S0002-9939-03-06855-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be a C*-algebra and let X be a full (right) Hilbert A-module. It is shown that if the spectrum (A) over cap of A is discrete, then every closed K(X)-A-submodule of X is complemented in X, and conversely that if (A) double under bar is a T-1-space and if every closed K(X)-A-submodule of X is complemented in X, then (A) over cap is discrete.
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页码：3075 / 3081
页数：7
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