On collectively L-weakly compact sets of operators Full article
| Journal |
Analysis Mathematica
ISSN: 0133-3852 , E-ISSN: 1588-273X |
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| Output data | Year: 2025, DOI: 10.1007/s10476-025-00088-3 | ||
| Tags | L-weakly compact set, almost limited set, Banach lattice, domination problem. | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
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. In the present note the Meyer-Nieberg duality theorem is extended to collectively L-weakly compact sets of operators, the relationship between collectively L-weakly compact sets and collectively almost limited sets is investigated, and the domination problem for collectively compact and collectively L-weakly compact sets is studied.
Cite:
Emelyanov E.
On collectively L-weakly compact sets of operators
Analysis Mathematica. 2025. DOI: 10.1007/s10476-025-00088-3 WOS Scopus OpenAlex
On collectively L-weakly compact sets of operators
Analysis Mathematica. 2025. DOI: 10.1007/s10476-025-00088-3 WOS Scopus OpenAlex
Dates:
| Submitted: | Sep 9, 2024 |
| Accepted: | Jan 3, 2025 |
| Published online: | Jun 12, 2025 |
Identifiers:
| Web of science: | WOS:001507222900001 |
| Scopus: | 2-s2.0-105007898851 |
| OpenAlex: | W4411250102 |
Citing:
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