Frame related operators for woven frames
Functional Analysis
2018-08-16 v1
Abstract
A new notion in frame theory has been introduced recently under the name woven-weaving frames by Bemrose et. al. In the studying of frames, some operators like analysis, synthesis, Gram and frame operator play the central role. In this paper, for the first time, we introduce and define these operators for woven-weaving frames and review some properties of them. In continuation, we investigate the effect of different types of operators on the woven frames and their bounds. Also, we provide some conditions that shows sum of woven frames are also woven frames. Finally, we apply these properties with an example.
Keywords
Cite
@article{arxiv.1808.05095,
title = {Frame related operators for woven frames},
author = {Asghar Rahimi and Zahra Samadzadeh and Bayaz Daraby},
journal= {arXiv preprint arXiv:1808.05095},
year = {2018}
}
Comments
16 pages