Building ideals of two-Lipschitz operators between mertic and Banach spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910311800373248 |
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| author | Achour, Dahmane Dahia, Elhadj |
| author_facet | Achour, Dahmane Dahia, Elhadj |
| contents | In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lipschitz operator ideals. Namely, Lipschitzization and factorization method. We show the closedness, the injectivity and the symmetry of these two-Lipschitz ideals according to the closedness, injectivity and symmetry of the corresponding Lipschitz operator ideals. Some illustrative examples are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03104 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Building ideals of two-Lipschitz operators between mertic and Banach spaces Achour, Dahmane Dahia, Elhadj Functional Analysis Primary 47L20, 47B10, Secondary 26A16, 47L20 In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lipschitz operator ideals. Namely, Lipschitzization and factorization method. We show the closedness, the injectivity and the symmetry of these two-Lipschitz ideals according to the closedness, injectivity and symmetry of the corresponding Lipschitz operator ideals. Some illustrative examples are given. |
| title | Building ideals of two-Lipschitz operators between mertic and Banach spaces |
| topic | Functional Analysis Primary 47L20, 47B10, Secondary 26A16, 47L20 |
| url | https://arxiv.org/abs/2312.03104 |