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Eurasian Mathematical Journal, 2017, Volume 8, Number 4, Pages 45–54 (Mi emj276)  
On the generalized Riesz-dual sequences in Hilbert spaces

F. Enayati, M. S. Asgari

Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, P. O. Box: 13185/768, Tehran, Iran
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Abstract: In this paper we define the generalized Riesz-dual sequence from a g-Bessel sequence with respect to a pair of g-orthonormal bases as a generalization of the Riesz-dual sequence. We characterize exactly properties of the first sequence in terms of the associated one, which yields duality relations for the abstract g-frame setting.
Keywords and phrases: G-frames, g-orthonormal bases, g-Riesz basis, g-Riesz-dual sequence.
Funding agency
This work was supported by the Islamic Azad University, Central Tehran Branch.
Received: 28.07.2016
Revised: 21.09.2017
Bibliographic databases:
Document Type: Article
MSC: 41A58, 42C15, 42C40
Language: English
Citation: F. Enayati, M. S. Asgari, “On the generalized Riesz-dual sequences in Hilbert spaces”, Eurasian Math. J., 8:4 (2017), 45–54
Citation in format AMSBIB
\Bibitem{EnaAsg17}
\by F.~Enayati, M.~S.~Asgari
\paper On the generalized Riesz-dual sequences in Hilbert spaces
\jour Eurasian Math. J.
\yr 2017
\vol 8
\issue 4
\pages 45--54
\mathnet{http://mi.mathnet.ru/emj276}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000429192500004}
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