Relatively uniformly continuous semigroups on ordered vector spaces

Relatively uniformly continuous semigroups on ordered vector spaces Full article

Journal

Journal of Mathematical Analysis and Applications
ISSN: 0022-247X , E-ISSN: 1096-0813

Output data

Year: 2026, Article number : 130556, Pages count : 17 DOI: 10.1016/j.jmaa.2026.130556

Tags

ordered vector space; generating cone; relatively uniform convergence; operator semigroup; order continuous at zero

Authors

Emelyanov Eduard ¹ , Erkurşun-Özcan Nazife ² , Gorokhova Svetlana ³

Affiliations

1	FSBIS Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
2	Department of Mathematics, Faculty of Science, Hacettepe University, Ankara, 06800, Turkey
3	Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, 362025, Russia

Funding (1)

Министерство науки и высшего образования РФ

FWNF-2026-0022

We study relatively uniformly continuous operator semigroups on ordered vector spaces and extend several recent results obtained by M. Kramar Fijavž, M. Kandić, M. Kaplin, and J. Glück in the vector lattice setting to ordered vector spaces with generating cones.

Emelyanov E. , Erkurşun-Özcan N. , Gorokhova S.
Relatively uniformly continuous semigroups on ordered vector spaces
Journal of Mathematical Analysis and Applications. 2026. 130556 :1-17. DOI: 10.1016/j.jmaa.2026.130556 OpenAlex

Submitted:	Jan 4, 2025
Published online:	Feb 26, 2026

OpenAlex:

W7131651884

Пока нет цитирований