d-Operators in Banach Lattices
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929518902509568 |
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| author | Emelyanov, Eduard Erkurşun-Özcan, Nazife Gorokhova, Svetlana |
| author_facet | Emelyanov, Eduard Erkurşun-Özcan, Nazife Gorokhova, Svetlana |
| contents | We study operators carrying disjoint bounded subsets of a Banach lattice into compact, weakly compact, and limited subsets of a Banach space. Surprisingly, these operators behave differently with classical compact, weakly compact, and limited operators. We introduce and investigate d-Andrews operators which carry disjoint bounded sets onto Dunford--Pettis sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | d-Operators in Banach Lattices Emelyanov, Eduard Erkurşun-Özcan, Nazife Gorokhova, Svetlana Functional Analysis 46B42, 46B50, 47B07 We study operators carrying disjoint bounded subsets of a Banach lattice into compact, weakly compact, and limited subsets of a Banach space. Surprisingly, these operators behave differently with classical compact, weakly compact, and limited operators. We introduce and investigate d-Andrews operators which carry disjoint bounded sets onto Dunford--Pettis sets. |
| title | d-Operators in Banach Lattices |
| topic | Functional Analysis 46B42, 46B50, 47B07 |
| url | https://arxiv.org/abs/2401.08792 |