APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES

doi:10.1016/S0252-9602(14)60036-9

Abstract

Abstract:

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.

Key words: Frame, g-frame, approximate duality, perturbation, reconstruction

CLC Number:

41A58

Amir KHOSRAVI, Morteza MIRZAEE AZANDARYANI. APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES[J].Acta mathematica scientia,Series B, 2014, 34(3): 639-652.

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