Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces Full article
| Journal |
Results in Mathematics
ISSN: 1422-6383 |
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| Output data | Year: 2025, Volume: 80, Number: 3, Article number : 70, Pages count : 14 DOI: 10.1007/s00025-025-02386-6 | ||||||
| Tags | Ordered vector space, collectively qualified set of operators, commutative operator semigroup | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
It is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space with a generating cone to an ordered vector space is collectively order bounded; and each collectively order-to-norm bounded set of operators from an ordered Banach space with a closed generating cone to a normed space is norm bounded. Several applications to commutative operator semigroups on ordered vector spaces are given.
Cite:
Emelyanov E.
, Erkurşun-Özcan N.
, Gorokhova S.
Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces
Results in Mathematics. 2025. V.80. N3. 70 :1-14. DOI: 10.1007/s00025-025-02386-6 Scopus
Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces
Results in Mathematics. 2025. V.80. N3. 70 :1-14. DOI: 10.1007/s00025-025-02386-6 Scopus
Dates:
| Submitted: | Dec 19, 2024 |
| Accepted: | Feb 19, 2025 |
| Published print: | Mar 15, 2025 |
| Published online: | Mar 15, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105000098582 |
Citing:
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