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APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES 被引量：9

APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES
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摘要 In this article, we introduce and characterize approximate duality for g-frames. We get some important properties and applications of approximate duals. We also obtain some new results in approximate duality of frames, and generalize some of the known results in approximate duality of frames to g-frames. We also get some results for fusion frames, and perturbation of approximately dual g-frames. We show that approximate duals are stable under small perturbations and they are useful for erasures and reconstruction. In this article, we introduce and characterize approximate duality for g-frames. We get some important properties and applications of approximate duals. We also obtain some new results in approximate duality of frames, and generalize some of the known results in approximate duality of frames to g-frames. We also get some results for fusion frames, and perturbation of approximately dual g-frames. We show that approximate duals are stable under small perturbations and they are useful for erasures and reconstruction.
作者 Amir KHOSRAVI Morteza MIRZAEE AZANDARYANI
机构地区 Faculty of Mathematical Sciences and Computer Faculty of Mathematical Sciences and Computer
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期639-652,共14页 数学物理学报（B辑英文版）
关键词 FRAME G-FRAME approximate duality PERTURBATION reconstruction Frame g-frame approximate duality perturbation reconstruction
分类号 O177.1 [理学—基础数学] O224 [理学—运筹学与控制论]
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共引文献42

同被引文献28

  • 1常乐,葛广州,王涛,杨刚帅.建筑施工中作业人员不安全行为分析及管控措施[J].建筑经济,2020(S01):144-148. 被引量：9
  • 2陶常利,单继荣.伪对偶g-框架[J].山东科技大学学报（自然科学版）,2006,25(4):98-100. 被引量：3
  • 3Wenchang Sun.G-frames and g-Riesz bases[J]. Journal of Mathematical Analysis and Applications . 2005 (1)
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  • 6Bei Liu,Rui Liu,Bentuo Zheng.??Parseval p -frames and the Feichtinger conjecture(J)Journal of Mathematical Analysis and Applications . 2014
  • 7Chun-Yan Li.??Operator Frames for Banach Spaces(J)Complex Analysis and Operator Theory . 2012 (1)
  • 8AMIR KHOSRAVI,BEHROOZ KHOSRAVI.??Fusion frames and G -frames in Banach spaces(J)Proceedings - Mathematical Sciences . 2011 (2)
  • 9Peter G. Casazza,Gitta Kutyniok,Shidong Li.??Fusion frames and distributed processing(J)Applied and Computational Harmonic Analysis . 2007 (1)
  • 10Yu Can ZHU.Characterizations of g-Frames and g-Riesz Bases in Hilbert Spaces[J].Acta Mathematica Sinica,English Series,2008,24(10):1727-1736. 被引量：38

引证文献9

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Acta Mathematica Scientia
2014年 第3期

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