An appropriate representation space for controlled G-frames
Functional Analysis
2019-05-23 v1
Abstract
In this paper, motivating the range of operators, we propose an appropriate representation space to introduce synthesis and analysis operators of controlled g-frames and discuss the properties of these operators. Especially, we show that the operator obtained by the composition of the synthesis and analysis operators of two controlled g-Bessel sequence is a trace class operator. Also, we define the canonical controlled g-dual and show that this dual gives rise to expand coefficients with the minimal norm. Finally, we extend some known equality and inequalities for controlled g-frames.
Keywords
Cite
@article{arxiv.1905.08962,
title = {An appropriate representation space for controlled G-frames},
author = {Maryam Forughi and Elnaz Osgooei and Asghar Rahimi and Mojgan Javahernia},
journal= {arXiv preprint arXiv:1905.08962},
year = {2019}
}
Comments
I would like to thank this site