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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |