The ideal of Lipschitz classical p-compact operators and its injective hull
We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space. As an application we extend some characterizations of the injective hull of the strongly Lipschitz classical p-compact from the line...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2022-01-01
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| Series: | Moroccan Journal of Pure and Applied Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/mjpaa-2022-0003 |
| _version_ | 1811159356772712448 |
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| author | Tiaiba Toufik Achour Dahmane |
| author_facet | Tiaiba Toufik Achour Dahmane |
| author_sort | Tiaiba Toufik |
| collection | DOAJ |
| description | We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space. As an application we extend some characterizations of the injective hull of the strongly Lipschitz classical p-compact from the linear case to the Lipschitz case. Also, we introduce the ideal of Lipschitz unconditionally quasi p-nuclear operators between pointed metric spaces and show that it coincides with the Lipschitz injective hull of the ideal of Lipschitz classical p-compact operators. |
| first_indexed | 2024-04-10T05:39:41Z |
| format | Article |
| id | doaj.art-3878d1e81d9a41e28f65c78d0df733da |
| institution | Directory Open Access Journal |
| issn | 2351-8227 |
| language | English |
| last_indexed | 2024-04-10T05:39:41Z |
| publishDate | 2022-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Moroccan Journal of Pure and Applied Analysis |
| spelling | doaj.art-3878d1e81d9a41e28f65c78d0df733da2023-03-06T10:30:08ZengSciendoMoroccan Journal of Pure and Applied Analysis2351-82272022-01-0181284310.2478/mjpaa-2022-0003The ideal of Lipschitz classical p-compact operators and its injective hullTiaiba Toufik0Achour Dahmane1Laboratory of Functional Analysis and Geometry of Spaces, University of Msila, PB 166 Msila 28000, Algeria.Laboratory of Functional Analysis and Geometry of Spaces, University of Msila, PB 166 Msila 28000, Algeria.We introduce and investigate the injective hull of the strongly Lipschitz classical p-compact operator ideal defined between a pointed metric space and a Banach space. As an application we extend some characterizations of the injective hull of the strongly Lipschitz classical p-compact from the linear case to the Lipschitz case. Also, we introduce the ideal of Lipschitz unconditionally quasi p-nuclear operators between pointed metric spaces and show that it coincides with the Lipschitz injective hull of the ideal of Lipschitz classical p-compact operators.https://doi.org/10.2478/mjpaa-2022-0003classical p-compact operatorlipschitz classical p-compact operatorlipschitz operator ideallipschitz injective hulllipschitz unconditionally quasi p-nuclear operator47l2047h9947b1026a1646a45 |
| spellingShingle | Tiaiba Toufik Achour Dahmane The ideal of Lipschitz classical p-compact operators and its injective hull Moroccan Journal of Pure and Applied Analysis classical p-compact operator lipschitz classical p-compact operator lipschitz operator ideal lipschitz injective hull lipschitz unconditionally quasi p-nuclear operator 47l20 47h99 47b10 26a16 46a45 |
| title | The ideal of Lipschitz classical p-compact operators and its injective hull |
| title_full | The ideal of Lipschitz classical p-compact operators and its injective hull |
| title_fullStr | The ideal of Lipschitz classical p-compact operators and its injective hull |
| title_full_unstemmed | The ideal of Lipschitz classical p-compact operators and its injective hull |
| title_short | The ideal of Lipschitz classical p-compact operators and its injective hull |
| title_sort | ideal of lipschitz classical p compact operators and its injective hull |
| topic | classical p-compact operator lipschitz classical p-compact operator lipschitz operator ideal lipschitz injective hull lipschitz unconditionally quasi p-nuclear operator 47l20 47h99 47b10 26a16 46a45 |
| url | https://doi.org/10.2478/mjpaa-2022-0003 |
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