English

Weighted Riesz bases in g-fusion frames and their perturbation

Functional Analysis 2018-06-12 v1

Abstract

In this paper, we introduce orthonoramal and Riesz bases for g-fusion frames and will show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames will be presented.

Keywords

Cite

@article{arxiv.1806.03596,
  title  = {Weighted Riesz bases in g-fusion frames and their perturbation},
  author = {Gholamreza Rahimlou and Vahid Sadri and Reza Ahmadi},
  journal= {arXiv preprint arXiv:1806.03596},
  year   = {2018}
}