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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.12341 |
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| _version_ | 1866915134103879680 |
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| author | Ferradi, Athmane Saadi, Khalil |
| author_facet | Ferradi, Athmane Saadi, Khalil |
| contents | The linear operators defined on the Lipschitz projective tensor product of X and E motivate the study of a distinct class of operators acting on the cartesian produc X E. This class, denoted by LipL(X E;F), combines Lipschitz and linear properties, forming an intermediate framework between bilinear operators and two-Lipschitz operators. We establish an identification between this space and L(X E;F), which also links it to the space of bilinear operators B(AE(X) E;F). Furthermore, we extend summability concepts within this category, with a particular focus on integral and dominated (p;q)-summing operators |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lip-Linear operators and their connection to Lipschitz tensor products Ferradi, Athmane Saadi, Khalil Functional Analysis The linear operators defined on the Lipschitz projective tensor product of X and E motivate the study of a distinct class of operators acting on the cartesian produc X E. This class, denoted by LipL(X E;F), combines Lipschitz and linear properties, forming an intermediate framework between bilinear operators and two-Lipschitz operators. We establish an identification between this space and L(X E;F), which also links it to the space of bilinear operators B(AE(X) E;F). Furthermore, we extend summability concepts within this category, with a particular focus on integral and dominated (p;q)-summing operators |
| title | Lip-Linear operators and their connection to Lipschitz tensor products |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2501.12341 |