Hilbert K-模上框架的不相交性及不变量问题  

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

作　　者：董芳芳[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《山东大学学报（理学版）》2012年第4期33-36,41,共5页Journal of Shandong University(Natural Science)

基　　金：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)

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HilbertK-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。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.

关 键 词：HILBERT K-模 模框架 不相交 不变量 

分 类 号：O177.1[理学—数学]