The Effect of Perturbations of Frames and Fusion Frames on Their Redundancies
Functional Analysis
2016-06-14 v2
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.
Keywords
Cite
@article{arxiv.1606.02027,
title = {The Effect of Perturbations of Frames and Fusion Frames on Their Redundancies},
author = {Asghar Rahimi and Golaleh Zandi and Bayaz Daraby},
journal= {arXiv preprint arXiv:1606.02027},
year = {2016}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1509.04160, arXiv:0910.5904 by other authors