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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/2505.17297 |
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| _version_ | 1866916754516606976 |
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| author | Botelho, Geraldo Monção, Ariel |
| author_facet | Botelho, Geraldo Monção, Ariel |
| contents | We give a necessary condition and a sufficient condition on the Banach lattices E and F so that an operator from E to F is DW-compact whenever its adjoint is DW-compact. We do the same, with different conditions, for DW-DP operators. Moreover, we characterize the Banach lattices E and F for which the adjoint of every DW-compact operator from E to F is DW-compact. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the duality of DW-compact operators and DW-DP operators Botelho, Geraldo Monção, Ariel Functional Analysis We give a necessary condition and a sufficient condition on the Banach lattices E and F so that an operator from E to F is DW-compact whenever its adjoint is DW-compact. We do the same, with different conditions, for DW-DP operators. Moreover, we characterize the Banach lattices E and F for which the adjoint of every DW-compact operator from E to F is DW-compact. |
| title | On the duality of DW-compact operators and DW-DP operators |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2505.17297 |