English

On perturbations of woven pairs of frames

Functional Analysis 2022-03-08 v3

Abstract

In this note, we prove some results related to small perturbations of a frame for a Hilbert space H\mathcal{H} in order to have a woven pair for H\mathcal{H}. Our results complete those known in the literature. In addition we study a necessary condition for a woven pair, that resembles a characterization for Riesz frames.

Keywords

Cite

@article{arxiv.2101.07351,
  title  = {On perturbations of woven pairs of frames},
  author = {Pablo Calderón and Mariano Ruiz},
  journal= {arXiv preprint arXiv:2101.07351},
  year   = {2022}
}