APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES  

作　　者：Amir KHOSRAVI Morteza MIRZAEE AZANDARYANI 

机构地区：[1]Faculty of Mathematical Sciences and Computer,Kharazmi (Tarbiat Moallem) University,599 Taleghani Ave.,Tehran 15618,Iran [2]Faculty of Mathematical Sciences and Computer,Kharazmi (Tarbiat Moallem) University,599 Taleghani Ave,Tehran 15618,Iran

出　　处：《Acta Mathematica Scientia》2014年第3期639-652,共14页数学物理学报（B辑英文版）

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.

关 键 词：FRAME G-FRAME approximate duality PERTURBATION reconstruction 

分 类 号：O177.1[理学—数学] O224[理学—基础数学]