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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 2, Pages 152–162
DOI: https://doi.org/10.15393/j3.art.2020.6332
(Mi pa302)
 

Some identities and inequalities for g-fusion frames

R. Zarghami Farfara, V. Sadrib, R. Ahmadia

a University of Tabriz, Iran
b Department of Mathematics, Faculty of Tabriz Branch, Technical and Vocational University (TVU), East Azarbaijan, Iran
References:
Abstract: G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for g-frames, which was given by Najati for a special case. Also, by using the idea of this identity and the dual frames, some equalities and inequalities are presented for g-fusion frames.
Keywords: g-frame, dual g-frame, g-fusion frame, dual g-fusion frame.
Received: 27.05.2019
Revised: 29.11.2019
Accepted: 11.02.2020
Document Type: Article
UDC: 517.98, 517.521
MSC: Primary 42C15; Secondary 46C99, 41A58
Language: English
Citation: R. Zarghami Farfar, V. Sadri, R. Ahmadi, “Some identities and inequalities for g-fusion frames”, Probl. Anal. Issues Anal., 9(27):2 (2020), 152–162
Citation in format AMSBIB
\Bibitem{ZarSadAhm20}
\by R.~Zarghami Farfar, V.~Sadri, R.~Ahmadi
\paper Some identities and inequalities for g-fusion frames
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 2
\pages 152--162
\mathnet{http://mi.mathnet.ru/pa302}
\crossref{https://doi.org/10.15393/j3.art.2020.6332}
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