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Collective Order Boundedness of Sets of Operators Between Ordered Vector Spaces Научная публикация

Журнал Results in Mathematics
ISSN: 1422-6383
Вых. Данные Год: 2025, Том: 80, Номер: 3, Номер статьи : 70, Страниц : 14 DOI: 10.1007/s00025-025-02386-6
Ключевые слова Ordered vector space, collectively qualified set of operators, commutative operator semigroup
Авторы Emelyanov Eduard 1 , Erkurşun-Özcan Nazife 2 , Gorokhova Svetlana 3
Организации
1 FSBIS Sobolev Institute of Mathematics
2 Department of Mathematics, Faculty of Science, Hacettepe University
3 Southern Mathematical Institute VS RAS

Информация о финансировании (1)

1 Институт математики им. С.Л. Соболева СО РАН FWNF-2022-0004

Реферат: 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.
Библиографическая ссылка: 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
Даты:
Поступила в редакцию: 19 дек. 2024 г.
Принята к публикации: 19 февр. 2025 г.
Опубликована в печати: 15 мар. 2025 г.
Опубликована online: 15 мар. 2025 г.
Идентификаторы БД:
Scopus: 2-s2.0-105000098582
РИНЦ: 81945502
OpenAlex: W4408481758
Цитирование в БД: Пока нет цитирований
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