| Hilbert K-模上的框架及其框架算子 |
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| 引用本文： | 董芳芳.Hilbert K-模上的框架及其框架算子[J].兰州理工大学学报,2011,37(5):158-162. |
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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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| 摘 要： | 引入Hilbert K-模上框架的框架变换,框架算子等概念,运用泛函分析和算子代数的理论知识研究其性质,得到一个框架的典则对偶框架和交替对偶框架之间的关系.
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| 关 键 词： | Hilbert K-模 框架算子 典则对偶 交替对偶 |
Frame in Hilbert K-module and its frame operator |
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| DONG Fang-fang.Frame in Hilbert K-module and its frame operator[J].Journal of Lanzhou University of Technology,2011,37(5):158-162. |
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| Authors: | DONG Fang-fang |
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| Institution: | DONG Fang-fang(College of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China) |
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| Abstract: | The concepts of frame transform and frame operator,and etc were introduced.The theoretical knowledge of functional analysis and operator algebra were used to study their properties.Finally,the relationship between canonical dual frame and alternate dual frame were obtained. |
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| Keywords: | Hilbert K-module frame operator canonical dual alternate dual |
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