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.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
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)