数学物理学报
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李登峰;杨利军
河南大学应用数学研究所 开封 475001;
河南大学数学与信息科学学院 开封 475001
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Li Dengfeng ;Yang Lijun
Institute of Applied Mathematics, Henan University, Kaifeng 475001;
College of Mathematics and Information Science, Henan University, Kaifeng 475001
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摘要: 该文给出Hilbert空间中框架扰动的新结果,也讨论Riesz 基, 近- Riesz 基和Riesz 框架的扰动问题. 所得结果包含一些已知扰动结果.
关键词: 框架, Riesz 基, 近- Riesz 基, Riesz 框架, 扰动
Abstract:
In this paper, some new results of frame perturbation in Hilbert spaces are obtained.The authors also discuss perturbations of Riesz bases, near-Riesz bases and Riesz frames.Moreover, it is showed that many known results are corollaries of the results.
Key words: Frame, Riesz basis, Near-Riesz bases, Riesz frame, Perturbation
中图分类号:
李登峰;杨利军. Hilbert 空间上框架扰动的新结果[J]. 数学物理学报, 2008, 28(3): 489-499.
Li Dengfeng ;Yang Lijun. New Perturbation Results on Frames in Hilbert Spaces[J]. Acta mathematica scientia,Series A, 2008, 28(3): 489-499.
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http://121.43.60.238/sxwlxbA/CN/Y2008/V28/I3/489
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