On compact KB operators in Banach lattices Full article
| Journal |
Positivity
ISSN: 1385-1292 , E-ISSN: 1572-9281 |
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| Output data | Year: 2025, Volume: 29, Number: 1, Article number : 15, Pages count : DOI: 10.1007/s11117-024-01109-5 | ||
| Tags | Banach lattice, KB operator, Compact operator | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
We study norm completeness and the domination problem for KB operators, and show that compact KB operators are not necessarily stable under rank one perturbations. It is proved that an order continuous Banach lattice is a KB-space if and only if every positive compact operator on it is KB. Conditions on quasi-KB operators to be KB are given.
Cite:
Emelyanov E.
On compact KB operators in Banach lattices
Positivity. 2025. V.29. N1. 15 . DOI: 10.1007/s11117-024-01109-5 WOS Scopus РИНЦ OpenAlex
On compact KB operators in Banach lattices
Positivity. 2025. V.29. N1. 15 . DOI: 10.1007/s11117-024-01109-5 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 14, 2024 |
| Accepted: | Dec 31, 2024 |
| Published print: | Jan 11, 2025 |
| Published online: | Jan 11, 2025 |
Identifiers:
| Web of science: | WOS:001394552000001 |
| Scopus: | 2-s2.0-85217418897 |
| Elibrary: | 81005753 |
| OpenAlex: | W4406286600 |
Citing:
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