Morita equivalence for C*-algebras with the weak Banach-Saks property.: II

被引:5
|
作者
Kusuda, Masaharu [1 ]
机构
[1] Kansai Univ, Fac Engn, Dept Math, Suita, Osaka 5648680, Japan
关键词
Banach-Saks property; Hilbert C*-module; Morita equivalence;
D O I
10.1017/S0013091505000374
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let C*-algebras A and B be Morita equivalent and let X bean A-B-imprimitivity bimodule. Suppose that A or B is unital. It is shown that X has the weak Banach-Saks property if and only if it has the uniform weak Banach-Saks property. Thus, we conclude that A or B has the weak Banach-Saks property if and only if X does so. Furthermore, when C*-algebras A and B are unital, it is shown that X has the Banach-Saks property if and only if it is finite dimensional.
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页码:185 / 195
页数:11
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