The effect of perturbations of frames and fusion frames on their redundancies

Author:

Rahimi Asghar1,Zandi Golaleh1,Daraby Bayaz1

Affiliation:

1. Department of Mathematics, University of Maragheh, P. O. Box 55181-83111, Maragheh, Iran

Abstract

AbstractAn interesting question about the perturbed sequences is: when do they inherit the properties of the original one? An elegant relation between frames (fusion frames) and their perturbations is the relation of their redundancies. In this paper, we investigate these relationships. Also, we express the redundancy of frames (fusion frames) in terms of the cosine angle between some subspaces.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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