Controlled continuous $g$-frames and their duals in Hilbert spaces
Functional Analysis
2022-10-25 v1
Abstract
In this paper, we characterize and study the concept of controlled continuous -frame which is an extension of continuous -frame in Hilbert spaces. We introduce the concept of controlled continuous dual -frame and observe some interesting properties of it. Finally, we characterize all controlled continuous dual -frames of a controlled continuous -frame.
Keywords
Cite
@article{arxiv.2210.13211,
title = {Controlled continuous $g$-frames and their duals in Hilbert spaces},
author = {Mohamed Rossafi and Fakhr-dine Nhari and P. Sam Johnson},
journal= {arXiv preprint arXiv:2210.13211},
year = {2022}
}