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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 1, Pages 110–127
DOI: https://doi.org/10.15393/j3.art.2020.7470 (Mi pa292) 		 
Weighted Riesz bases in g-fusion frames and their perturbation

G. Rahimloua, V. Sadria, R. Ahmadib

a Department of Mathematics, Faculty of Tabriz Branch, Technical and Vocational University (TVU), East Azarbaijan, Iran
b Institute of Fundamental Sciences, University of Tabriz, Iran
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DOI: https://doi.org/10.15393/j3.art.2020.7470
Abstract: In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames will be presented.
Keywords: g-fusion frame, Dual g-fusion frame, gf-complete, gf-orthonormal basis, gf-Riesz basis.
Received: 30.07.2019
Revised: 13.12.2019
Accepted: 28.12.2019
Bibliographic databases:
Document Type: Article
UDC: 517.521, 517.98
MSC: Primary 42C15; Secondary 46C99, 41A58
Language: English
Citation: G. Rahimlou, V. Sadri, R. Ahmadi, “Weighted Riesz bases in g-fusion frames and their perturbation”, Probl. Anal. Issues Anal., 9(27):1 (2020), 110–127
Citation in format AMSBIB
\Bibitem{RahSadAhm20}
\by G.~Rahimlou, V.~Sadri, R.~Ahmadi
\paper Weighted Riesz bases in g-fusion frames and their perturbation
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 1
\pages 110--127
\mathnet{http://mi.mathnet.ru/pa292}
\crossref{https://doi.org/10.15393/j3.art.2020.7470}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000517833600009}
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