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Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces Full article

Journal Results in Mathematics
ISSN: 1422-6383
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 Emelyanov Eduard 1 , Erkurşun-Özcan Nazife 2 , Gorokhova Svetlana 3
Affiliations
1 FSBIS Sobolev Institute of Mathematics
2 Department of Mathematics, Faculty of Science, Hacettepe University
3 Southern Mathematical Institute VS RAS

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 РИНЦ OpenAlex
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
Elibrary: 81945502
OpenAlex: W4408481758
Citing: Пока нет цитирований
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