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

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2007年 / 50卷

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.

引用

页码：185 / 195

页数：11

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