The Effect of Perturbations of Frames and Fusion Frames on Their Redundancies

Abstract

An 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.

10 pages. arXiv admin note: text overlap with arXiv:1509.04160, arXiv:0910.5904 by other authors