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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)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0004

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.

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

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.

Scopus:

2-s2.0-105000098582

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