| 伪逆算子的性质及其在框架理论中的应用 |
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| 引用本文： | 陈涛,陶常利.伪逆算子的性质及其在框架理论中的应用[J].山东大学学报(工学版),2008,38(3):118-122. |
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| 作者姓名： | 陈涛 陶常利 |
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| 作者单位： | 1. 泰山学院数学与系统科学系,山东,泰安271021
2. 山东科技大学信息学院,山东,青岛266510 |
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| 摘 要： | 给出了伪逆算子的运算性质及满射有界算子的伪逆算子的一种表示.然后把伪逆算子应用在框架理论中,同时给出了预框架算子的伪逆算子的矩阵表示.最后把伪逆算子应用在(非框架的)序列中.
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| 关 键 词： | 框架 预框架算子 框架算子 伪逆算子 |
| 收稿时间： | 2006-12-05 |
The properties of pseudo-inverse operators and their applications in the frame theory |
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| CHEN Tao,TAO Chang-li.The properties of pseudo-inverse operators and their applications in the frame theory[J].Journal of Shandong University of Technology,2008,38(3):118-122. |
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| Authors: | CHEN Tao TAO Chang-li |
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| Affiliation: | 1.The department of Mathematic and System science, Taishan University， Taian 271021, China;2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
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| Abstract: | The operational properties of the pseudo-inverse operators were studied and one kind of the expression of pseudo-inverse operators was obtained.The operator was subjectively bounded in Hilbert space,and then the results were applied to the frame theory.The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided,and finally the theory of pseudo-inverse operators to some non-frame sequences was developed. |
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| Keywords: | frame pre-frame operator frame operator pseudo-inverse operator |
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