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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 2, Pages 3–17
DOI: https://doi.org/10.15393/j3.art.2021.9310
(Mi pa320)
 

Constructions of weaving continuous g-frames for operators in Hilbert spaces

E. Alizadeha, V. Sadrib

a Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
b Department of Mathematics, Faculty of Tabriz Branch, Technical and Vocational University (TVU), East Azarbaijan, Iran
References:
Abstract: In this paper, we introduce the concept of weaving continuous K-g-frames in Hilbert spaces, which are the generalization of weaving K-g-frames and weaving c-g-frames. We prove some new results for these frames, focusing on the constructions of c-K-g-woven frames for Hilbert spaces by certain operators with specific properties. Finally, we verify a Paley-Wiener type perturbation of these frames.
Keywords: c-K-g-frame, continuous weaving frame, c-K-g-woven frames.
Received: 05.11.2020
Revised: 18.02.2021
Accepted: 20.02.2021
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: Primary 42C15; Secondary 42C40, 41A58
Language: English
Citation: E. Alizadeh, V. Sadri, “Constructions of weaving continuous g-frames for operators in Hilbert spaces”, Probl. Anal. Issues Anal., 10(28):2 (2021), 3–17
Citation in format AMSBIB
\Bibitem{AliSad21}
\by E.~Alizadeh, V.~Sadri
\paper Constructions of weaving continuous g-frames for operators in Hilbert spaces
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 2
\pages 3--17
\mathnet{http://mi.mathnet.ru/pa320}
\crossref{https://doi.org/10.15393/j3.art.2021.9310}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000661490100001}
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