English

Invariance of Fr\'echet Frames under Perturbation

Functional Analysis 2012-01-31 v1

Abstract

Motivating the perturbations of frames in Hilbert and Banach spaces, in this paper we introduce the invariance of Fr\'echet frames under perturbation. Also we show that for any Fr\'echet spaces, there is a Fr\'echet frame and any element has a series expansion.

Keywords

Cite

@article{arxiv.1201.5993,
  title  = {Invariance of Fr\'echet Frames under Perturbation},
  author = {Asghar Rahimi},
  journal= {arXiv preprint arXiv:1201.5993},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T20:11:11.925Z