On weaving frames in Hilbert spaces
Functional Analysis
2019-01-08 v1
Abstract
In this paper, we obtain some new properties of weaving frames and present some conditions under which a family of frames is woven in Hilbert spaces. Some characterizations of weaving frames in terms of operators are given. We also give a condition associated with synthesis operators of frames such that the sequence of frames is woven. Finally, for a family of woven frames, we show that they are stable under invertible operators and small perturbations.
Cite
@article{arxiv.1901.01360,
title = {On weaving frames in Hilbert spaces},
author = {Dongwei Li},
journal= {arXiv preprint arXiv:1901.01360},
year = {2019}
}