ERRATA ON "BANACH-SAKS PROPERTIES OF C*-ALGEBRAS AND HILBERT C*-MODULES"

被引:2
|
作者
Frank, Michael [1 ]
Pavlov, Alexander A. [2 ,3 ]
机构
[1] Hsch Tech Wirtschaft & Kultur HTWK Leipzig, Fak IMN, D-04251 Leipzig, Germany
[2] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy
[3] Russian Acad Sci VINITI RAS, All Russian Inst Sci & Tech Informat, Moscow 125190, Russia
来源
关键词
Banach-Saks properties; C*-algebra; Hilbert C*-module; Morita equivalence; MORITA EQUIVALENCE;
D O I
10.15352/bjma/1313362984
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Due to an example indicated to us in September 2009 we have to add one more restriction to the suppositions on the imprimitivity bimodules treated in Proposition 4.1, Theorem 5.1, Theorem 6.2 and Proposition 6.3. In the situation when the Banach-Saks property holds for the imprimitivity bimodule we can describe all possible additional examples violating the newly invented supposition. So the classification of Hilbert C*-modules with the Banach-Saks property is complete. Beyond that, there is still an open problem for a certain class of imprimitivity bimodules with the weak or uniform weak Banach-Saks property which might violate the additional condition.
引用
收藏
页码:94 / 100
页数:7
相关论文
共 50 条