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g-框架的摄动和原子分解 被引量:3

Perturbation of g-frames and Atomic Resolution
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摘要 该文完善了g-框架的稳定性理论.首先给出了g-框架摄动的几个结果,其中包括g-框架的紧摄动性.其次,讨论了g-框架和单位原子分解的关系. This paper improves the stability of g-frames.Firstly,some results on perturbations of g-frames are given,including the compact perturbation property.Secondly,the relation between g-frames and atomic resolution of the identity is discussed.
作者 王静 高德智
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第6期1451-1456,共6页 Acta Mathematica Scientia
关键词 G-框架 摄动 单位原子分解 g-frame Perturbation Atomic resolution
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参考文献9

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同被引文献26

  • 1丁明玲,朱玉灿.g-框架的稳定性[J].福州大学学报(自然科学版),2007,35(3):321-325. 被引量:10
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  • 6SUN Wen-chang.G-frames and g-Riesz bases[J].J Math Anal Appl,2006,322(1):437-452.
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  • 8Najati A,Faroughi M H,Rahimi A.G-frames and stability of g-frames in Hilbert spaces[J].Methods of Functional Analy-sis and Topology,2008,14(3):271-286.
  • 9Asgari M S.New characterizations of fusion frames(frames of subspaces)[J].Proc Indian Acad Sci,2009,119(3):369-382.
  • 10Najati A.Continuous and discrete frames of subspaces in Hilbert spaces[J].Southeast Asian Bulletin of Mathematics,2008,32:305-324.

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