| Hilbert K-模上框架的不相交性及不变量问题 |
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| 引用本文： | 董芳芳.Hilbert K-模上框架的不相交性及不变量问题[J].山东大学学报(理学版),2012,47(4):33-36,41. |
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| 作者姓名： | 董芳芳 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 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) |
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| 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。
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| 关 键 词： | Hilbert K-模 模框架 不相交 不变量 |
The disjointness and invariant problems of frames on Hilbert K-modules |
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| DONG Fang-fang.The disjointness and invariant problems of frames on Hilbert K-modules[J].Journal of Shandong University,2012,47(4):33-36,41. |
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| Authors: | DONG Fang-fang |
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| Institution: | DONG Fang-fang(College of Mathematical and Statistics,Tianshui Normal University,Tianshui 741001,Gansu,China) |
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| 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. |
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| Keywords: | Hilbert K-modules module frames disjointness invariant |
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