On Controlled Frames in Hilbert $C^*$-modules
Operator Algebras
2017-05-02 v1 Functional Analysis
Abstract
In this paper, we introduce controlled frames in Hilbert -modules and we show that they share many useful properties with their corresponding notions in Hilbert space. Next, we give a characterization of controlled frames in Hilbert -module. Also multiplier operators for controlled frames in Hilbert -modules will be defined and some of its properties will be shown. Finally, we investigate weighted frames in Hilbert -modules and verify their relations to controlled frames and multiplier operators.
Keywords
Cite
@article{arxiv.1705.00357,
title = {On Controlled Frames in Hilbert $C^*$-modules},
author = {Mehdi Rashidi-Kouchi and Asghar Rahimi},
journal= {arXiv preprint arXiv:1705.00357},
year = {2017}
}