Positive ideals of multilinear operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929472010190848 |
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| author | Ferradi, Athmane Belaada, Abdelaziz Saadi, Khalil |
| author_facet | Ferradi, Athmane Belaada, Abdelaziz Saadi, Khalil |
| contents | We introduce and explore the concept of positive ideals for both linear and multilinear operators between Banach lattices. This paper delineates the fundamental principles of these new classes and provides techniques for constructing positive multi-ideals from given positive ideals. Furthermore, we present an example of a positive multi-ideal by introducing a new class, referred to as positive (p1,...,pm;r)-dominated multilinear operators. We establish a natural analogue of the Pietsch domination theorem and Kwapien's factorization theorem within this class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Positive ideals of multilinear operators Ferradi, Athmane Belaada, Abdelaziz Saadi, Khalil Functional Analysis 47B65, 46G25, 47L20, 47B10, 46B42 We introduce and explore the concept of positive ideals for both linear and multilinear operators between Banach lattices. This paper delineates the fundamental principles of these new classes and provides techniques for constructing positive multi-ideals from given positive ideals. Furthermore, we present an example of a positive multi-ideal by introducing a new class, referred to as positive (p1,...,pm;r)-dominated multilinear operators. We establish a natural analogue of the Pietsch domination theorem and Kwapien's factorization theorem within this class. |
| title | Positive ideals of multilinear operators |
| topic | Functional Analysis 47B65, 46G25, 47L20, 47B10, 46B42 |
| url | https://arxiv.org/abs/2402.00618 |