Woven g-Fusion Frames in Hilbert Spaces

In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion fram...

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Main Authors:	Maryam Mohammadrezaee, Mehdi Rashidi-Kouchi, Akbar Nazari, Ali Oloomi
Format:	Article
Language:	English
Published:	University of Maragheh 2021-08-01
Series:	Sahand Communications in Mathematical Analysis
Subjects:	frame g-fusion frame woven frame weaving g-fusion frame perturbation
Online Access:	https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdf

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spelling	doaj-5ad94f86366948ee8b577c65d4080a4c2021-10-10T05:42:43ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002021-08-0118313315110.22130/scma.2021.137940.870245656Woven g-Fusion Frames in Hilbert SpacesMaryam Mohammadrezaee0Mehdi Rashidi-Kouchi1Akbar Nazari2Ali Oloomi3Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.Department of Mathematics, Ghaderabad Center, Islamic Azad University, Ghaderabad, Iran.Department of Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran.In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdfframeg-fusion framewoven frameweaving g-fusion frameperturbation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Maryam Mohammadrezaee Mehdi Rashidi-Kouchi Akbar Nazari Ali Oloomi
spellingShingle	Maryam Mohammadrezaee Mehdi Rashidi-Kouchi Akbar Nazari Ali Oloomi Woven g-Fusion Frames in Hilbert Spaces Sahand Communications in Mathematical Analysis frame g-fusion frame woven frame weaving g-fusion frame perturbation
author_facet	Maryam Mohammadrezaee Mehdi Rashidi-Kouchi Akbar Nazari Ali Oloomi
author_sort	Maryam Mohammadrezaee
title	Woven g-Fusion Frames in Hilbert Spaces
title_short	Woven g-Fusion Frames in Hilbert Spaces
title_full	Woven g-Fusion Frames in Hilbert Spaces
title_fullStr	Woven g-Fusion Frames in Hilbert Spaces
title_full_unstemmed	Woven g-Fusion Frames in Hilbert Spaces
title_sort	woven g-fusion frames in hilbert spaces
publisher	University of Maragheh
series	Sahand Communications in Mathematical Analysis
issn	2322-5807 2423-3900
publishDate	2021-08-01
description	In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.
topic	frame g-fusion frame woven frame weaving g-fusion frame perturbation
url	https://scma.maragheh.ac.ir/article_245656_fe9c6b9e97a3f6a5f471afc2e268820c.pdf
work_keys_str_mv	AT maryammohammadrezaee wovengfusionframesinhilbertspaces AT mehdirashidikouchi wovengfusionframesinhilbertspaces AT akbarnazari wovengfusionframesinhilbertspaces AT alioloomi wovengfusionframesinhilbertspaces
_version_	1716830061694287872

Woven g-Fusion Frames in Hilbert Spaces

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