| 算子框架的稳定性 |
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| 引用本文： | 李岚.算子框架的稳定性[J].纯粹数学与应用数学,2008,24(2). |
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| 作者姓名： | 李岚 |
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| 作者单位： | 西安文理学院数学系,陕西,西安,710065 |
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| 基金项目： | 西安文理学院校科研和教改项目 |
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| 摘 要： | 算子框架是广义的框架,它包括框架序列和子空间框架.本文分别讨论了在Bessel算子列和算子框架的扰动下,其对偶框架的稳定性.得到了一些新结果,这些结果是序列框架稳定性的推广.
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| 关 键 词： | 算子框架 稳定性 Bessel算子列 |
Stability of operator frames |
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| LI Lan.Stability of operator frames[J].Pure and Applied Mathematics,2008,24(2). |
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| Authors: | LI Lan |
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| Institution: | LI Lan (Department of Mathematics,Xi\'an University of Arts , Sciences,Xi\'an 710065,China) |
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| Abstract: | Operators frames is generalized frames,including frames for Hilbert space and subspace frames.We study some characters for the Bessel operator sequences and the stability of operator frames under perturba- tions.Some results about stability of the dual of operator frames are proved.The stability of operator frames generalization of frames for Hilbert space. |
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| Keywords: | operator flames stability Bessel operator sequences |
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