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, cilt.560, sa.2, 2026 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 560 Sayı: 2
• Basım Tarihi: 2026
• Doi Numarası: 10.1016/j.jmaa.2026.130556
• Dergi Adı: Journal of Mathematical Analysis and Applications
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
• Anahtar Kelimeler: Generating cone, Operator semigroup, Order continuous at zero, Ordered vector space, Relatively uniform convergence
• Hacettepe Üniversitesi Adresli: Evet

Özet

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.