007Hilbert K-模上框架的不相交性及不变量问题

J4 ›› 2012, Vol. 47 ›› Issue (4): 33-36.

007Hilbert K-模上框架的不相交性及不变量问题

董芳芳

天水师范学院数学与统计学院, 甘肃天水 741001

收稿日期:2011-10-21 出版日期:2012-04-20 发布日期:2012-06-28
作者简介:董芳芳(1981- )，女，讲师，硕士，研究方向为泛函分析. Email: dff8367848@yahoo.com
基金资助:
国家自然科学基金资助项目(10771101);天水师范学院中青年教师科研资助项目(TSA0934)

The disjointness and invariant problems of frames on Hilbert K-modules

DONG Fang-fang

College of Mathematical and Statistics, Tianshui Normal University, Tianshui 741001, Gansu, China

Received:2011-10-21 Online:2012-04-20 Published:2012-06-28

摘要/Abstract

摘要：

考虑了紧算子代数模(Hilbert K模)上的框架。运用泛函分析和算子代数的理论知识,给出并证明了Hilbert K-模上框架(强)不相交的充要条件。最后,联系C*-子代数的指标理论,得到了Hilbert C*子代数中关于不变量问题的两个重要结论。

关键词: Hilbert K模;模框架;不相交;不变量

Abstract:

The frames of modules on compact operator algebras which are called Kmodules are considered. The theories of function analysis and operator algebras are used and the equivalent conditions of disjointness of frames on Hilbert Kmodule are given and proved. Finally, Two important conclusions about invariant problems on Hilbert C*-subalgebras are obtained by the index theories of C*-subalgebras When Hilbert C*-subalgebras are considered as a Hilbert K-module on itself.

Key words: Hilbert K-modules； module frames； disjointness； invariant

董芳芳. 007Hilbert K-模上框架的不相交性及不变量问题[J]. J4, 2012, 47(4): 33-36.

DONG Fang-fang. The disjointness and invariant problems of frames on Hilbert K-modules[J]. J4, 2012, 47(4): 33-36.

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