Controlled weaving frames in Hilbert spaces
Functional Analysis
2018-12-04 v1
Abstract
In this paper, we first introduce the notion of controlled weaving K-g-frames in Hilbert spaces. Then, we present sufficient conditions for controlled weaving K-g-frames in separable Hilbert spaces. Also, a characterization of controlled weaving K-g-frames is given in terms of an operator. Finally, we show that if bounds of frames associated with atomic spaces are positively confined, then controlled K-g-woven frames gives ordinary weaving K-frames and vice-versa.
Cite
@article{arxiv.1812.00150,
title = {Controlled weaving frames in Hilbert spaces},
author = {Reza Rezapour and Asghar Rahimi and E. Osgooei and Hossien Dehghan},
journal= {arXiv preprint arXiv:1812.00150},
year = {2018}
}
Comments
17 pages