Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules

Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we define and study the new concept of controlled continuous ∗-K-g-frames for Hilbert C∗-modules and we establish some properties.

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Main Authors: Abdeslam Touri, Hatim Labrigui, Mohamed Rossafi, Samir Kabbaj
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/5548935
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author Abdeslam Touri
Hatim Labrigui
Mohamed Rossafi
Samir Kabbaj
author_facet Abdeslam Touri
Hatim Labrigui
Mohamed Rossafi
Samir Kabbaj
author_sort Abdeslam Touri
collection DOAJ
description Frame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we define and study the new concept of controlled continuous ∗-K-g-frames for Hilbert C∗-modules and we establish some properties.
format Article
id doaj-art-54c786cccaed43639ac0109198057c31
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-54c786cccaed43639ac0109198057c312025-02-03T01:29:22ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/55489355548935Controlled Continuous ∗-K-g-Frames for Hilbert C∗-ModulesAbdeslam Touri0Hatim Labrigui1Mohamed Rossafi2Samir Kabbaj3Department of Mathematics, Ibn Tofail University, B.P., 133 Kenitra, MoroccoDepartment of Mathematics, Ibn Tofail University, B.P., 133 Kenitra, MoroccoLASMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoDepartment of Mathematics, Ibn Tofail University, B.P., 133 Kenitra, MoroccoFrame theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗-modules. In this paper, we define and study the new concept of controlled continuous ∗-K-g-frames for Hilbert C∗-modules and we establish some properties.http://dx.doi.org/10.1155/2021/5548935
spellingShingle Abdeslam Touri
Hatim Labrigui
Mohamed Rossafi
Samir Kabbaj
Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
Abstract and Applied Analysis
title Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
title_full Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
title_fullStr Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
title_full_unstemmed Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
title_short Controlled Continuous ∗-K-g-Frames for Hilbert C∗-Modules
title_sort controlled continuous ∗ k g frames for hilbert c∗ modules
url http://dx.doi.org/10.1155/2021/5548935
work_keys_str_mv AT abdeslamtouri controlledcontinuouskgframesforhilbertcmodules
AT hatimlabrigui controlledcontinuouskgframesforhilbertcmodules
AT mohamedrossafi controlledcontinuouskgframesforhilbertcmodules
AT samirkabbaj controlledcontinuouskgframesforhilbertcmodules