Tensorial representations of positive weakly (q,r)-dominated multilinear operators
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912580474241024 |
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| author | Belaada, Abdelaziz Bounabab, Adel Ferradi, Athmane Saadi, Khalil |
| author_facet | Belaada, Abdelaziz Bounabab, Adel Ferradi, Athmane Saadi, Khalil |
| contents | We introduce and study the class of positive weakly (q,r)-dominated multilinear operators between Banach lattices. This notion extends classical domination and summability concepts to the positive multilinear setting and generates a new positive multi-ideal. A Pietsch domination theorem and a polynomial version are established. Finally, we provide a tensorial representation that yields an isometric identification with the dual of an appropriate completed tensor product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensorial representations of positive weakly (q,r)-dominated multilinear operators Belaada, Abdelaziz Bounabab, Adel Ferradi, Athmane Saadi, Khalil Functional Analysis We introduce and study the class of positive weakly (q,r)-dominated multilinear operators between Banach lattices. This notion extends classical domination and summability concepts to the positive multilinear setting and generates a new positive multi-ideal. A Pietsch domination theorem and a polynomial version are established. Finally, we provide a tensorial representation that yields an isometric identification with the dual of an appropriate completed tensor product. |
| title | Tensorial representations of positive weakly (q,r)-dominated multilinear operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2509.08293 |