Relatively uniformly continuous semigroups on ordered vector spaces

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Emelyanov E., ERKURŞUN ÖZCAN N., Gorokhova S.

Journal of Mathematical Analysis and Applications, vol.560, no.2, 2026 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 560 Issue: 2
• Publication Date: 2026
• Doi Number: 10.1016/j.jmaa.2026.130556
• Journal Name: Journal of Mathematical Analysis and Applications
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
• Keywords: Generating cone, Operator semigroup, Order continuous at zero, Ordered vector space, Relatively uniform convergence
• Hacettepe University Affiliated: Yes

Abstract

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.