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中文摘要：
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。
英文摘要：
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.
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