On collectively L-weakly compact sets of operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912087381377024 |
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| author | Emelyanov, Eduard |
| author_facet | Emelyanov, Eduard |
| contents | A set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact sets of operators, study relations between these sets and collectively almost limited sets, and discuss the domination problem for collectively compact sets and collectively L-weakly compact sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On collectively L-weakly compact sets of operators Emelyanov, Eduard Functional Analysis 46B50, 47B01, 47B07, 47B65 A set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact sets of operators, study relations between these sets and collectively almost limited sets, and discuss the domination problem for collectively compact sets and collectively L-weakly compact sets. |
| title | On collectively L-weakly compact sets of operators |
| topic | Functional Analysis 46B50, 47B01, 47B07, 47B65 |
| url | https://arxiv.org/abs/2407.10455 |