Invertibility of generalized g-frame multipliers in Hilbert spaces
Functional Analysis
2019-06-18 v1
Abstract
In this paper, we investigate the invertibility of generalized g-Bessel multipliers. We show that for semi-normalized symbols, the inverse of any invertible generalized g-frame multiplier can be represented as a generalized g-frame multiplier. Also we give several approaches for constructing invertible generalized g-frame multipliers from the given one. It is worth mentioning that some of our results are quite different from those studied in the previous literatures on this topic.
Keywords
Cite
@article{arxiv.1906.07065,
title = {Invertibility of generalized g-frame multipliers in Hilbert spaces},
author = {M. Abolghasemi and Y. Tolooei and Z. Moosavianfard},
journal= {arXiv preprint arXiv:1906.07065},
year = {2019}
}