∗-K-Operator Frame for Hom∗A(X)
In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Ada Academica
2021-12-01
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| Series: | European Journal of Mathematical Analysis |
| Subjects: | |
| Online Access: | https://adac.ee/index.php/ma/article/view/58 |
| _version_ | 1818773914953711616 |
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| author | Mohamed Rossafi Roumaissae El Jazzar Ali Kacha |
| author_facet | Mohamed Rossafi Roumaissae El Jazzar Ali Kacha |
| author_sort | Mohamed Rossafi |
| collection | DOAJ |
| description | In this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame for Hilbert pro-C ∗ -modules. |
| first_indexed | 2024-12-18T10:32:50Z |
| format | Article |
| id | doaj.art-ec5c65ae55724bb3b9f7efdcdac3b38b |
| institution | Directory Open Access Journal |
| issn | 2733-3957 |
| language | English |
| last_indexed | 2024-12-18T10:32:50Z |
| publishDate | 2021-12-01 |
| publisher | Ada Academica |
| record_format | Article |
| series | European Journal of Mathematical Analysis |
| spelling | doaj.art-ec5c65ae55724bb3b9f7efdcdac3b38b2022-12-21T21:10:50ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572021-12-0124410.28924/ada/ma.2.458∗-K-Operator Frame for Hom∗A(X)Mohamed Rossafi0Roumaissae El Jazzar1Ali Kacha2LaSMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, MoroccoLaboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, MoroccoLaboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, MoroccoIn this work, we introduce the concept of ∗-K-operator frames in Hilbert pro-C∗-modules, which is a generalization of K-operator frame. We present the analysis operator, the synthesis operator and the frame operator. We also give some properties and we study the tensor product of ∗-K-operator frame for Hilbert pro-C ∗ -modules.https://adac.ee/index.php/ma/article/view/58frame∗-k-operator frame k-operator frame pro-c∗-algebrahilbert pro-c∗-modulestensor product |
| spellingShingle | Mohamed Rossafi Roumaissae El Jazzar Ali Kacha ∗-K-Operator Frame for Hom∗A(X) European Journal of Mathematical Analysis frame ∗-k-operator frame k-operator frame pro-c∗-algebra hilbert pro-c∗-modules tensor product |
| title | ∗-K-Operator Frame for Hom∗A(X) |
| title_full | ∗-K-Operator Frame for Hom∗A(X) |
| title_fullStr | ∗-K-Operator Frame for Hom∗A(X) |
| title_full_unstemmed | ∗-K-Operator Frame for Hom∗A(X) |
| title_short | ∗-K-Operator Frame for Hom∗A(X) |
| title_sort | ∗ k operator frame for hom∗a x |
| topic | frame ∗-k-operator frame k-operator frame pro-c∗-algebra hilbert pro-c∗-modules tensor product |
| url | https://adac.ee/index.php/ma/article/view/58 |
| work_keys_str_mv | AT mohamedrossafi koperatorframeforhomax AT roumaissaeeljazzar koperatorframeforhomax AT alikacha koperatorframeforhomax |