Title : ( The correspondence of Fusion frames and frames In Hilbert C∗ -modules and finite Gabor Fusion frames )
Authors: Mozhgan Mohammadpour , Rajab Ali Kamyabi Gol ,
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Abstract
In this paper, we show that fusion frames in the finite dimensional Hilbert space H correspond to frames in the Hilbert C∗-module B(Cn). Moreover, we show that every tight fusion frame and Reisz fusion basis in Cn correspond to a tight frame and Reisz basis in the Hilbert C∗-module B(Cn) respectively. Then, we use this fact to characterize the dual of Reisz fusion basis. Finally, we introduce Gabor fusion frames as a new notion.
Keywords
, fusion frame frames in Hilbert C∗, modules fusion Riesz basis time frequency representation Gabor fusion frame
@article{paperid:1086858,
author = {Mohammadpour, Mozhgan and Kamyabi Gol, Rajab Ali},
title = {The correspondence of Fusion frames and frames In Hilbert C∗ -modules and finite Gabor Fusion frames},
journal = {Khayyam Journal of Mathematics},
year = {2021},
volume = {7},
number = {2},
month = {October},
issn = {2423-4788},
pages = {187--200},
numpages = {13},
keywords = {fusion frame frames in Hilbert C∗-modules fusion Riesz basis time frequency representation Gabor fusion frame},
}
%0 Journal Article
%T The correspondence of Fusion frames and frames In Hilbert C∗ -modules and finite Gabor Fusion frames
%A Mohammadpour, Mozhgan
%A Kamyabi Gol, Rajab Ali
%J Khayyam Journal of Mathematics
%@ 2423-4788
%D 2021
