Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules
Frame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules under perturbation, and we establish some pro...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5576534 |
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| _version_ | 1832566429071704064 |
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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 in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules under perturbation, and we establish some properties. |
| format | Article |
| id | doaj-art-a7cbead8c3f544ce95b87bdfca257243 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a7cbead8c3f544ce95b87bdfca2572432025-02-03T01:04:17ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55765345576534Perturbation and Stability of Continuous Operator Frames in 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 in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules under perturbation, and we establish some properties.http://dx.doi.org/10.1155/2021/5576534 |
| spellingShingle | Abdeslam Touri Hatim Labrigui Mohamed Rossafi Samir Kabbaj Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules Journal of Mathematics |
| title | Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules |
| title_full | Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules |
| title_fullStr | Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules |
| title_full_unstemmed | Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules |
| title_short | Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules |
| title_sort | perturbation and stability of continuous operator frames in hilbert c∗ modules |
| url | http://dx.doi.org/10.1155/2021/5576534 |
| work_keys_str_mv | AT abdeslamtouri perturbationandstabilityofcontinuousoperatorframesinhilbertcmodules AT hatimlabrigui perturbationandstabilityofcontinuousoperatorframesinhilbertcmodules AT mohamedrossafi perturbationandstabilityofcontinuousoperatorframesinhilbertcmodules AT samirkabbaj perturbationandstabilityofcontinuousoperatorframesinhilbertcmodules |