Relatively uniformly continuous semigroups on ordered vector spaces
Eduard Emelyanov, Nazife Erkursun-Ozcan, Svetlana Gorokhova
TL;DR
This paper investigates relatively uniformly continuous operator semigroups within ordered vector spaces, extending recent vector lattice results to more general ordered vector spaces with generating cones.
Contribution
It generalizes existing results from vector lattices to ordered vector spaces with generating cones, broadening the theoretical framework.
Findings
Extended the theory of relatively uniformly continuous semigroups to ordered vector spaces
Connected recent vector lattice results to more general ordered vector spaces
Provided new insights into the structure of operator semigroups in ordered spaces
Abstract
We study relatively uniformly continuous operator semigroups on ordered vector spaces and extend several recent results obtained by M. Kramar Fijavz, M. Kandic, M. Kaplin, and J. Gluck in the vector lattice setting to ordered vector spaces with generating cones.
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Taxonomy
TopicsAdvanced Banach Space Theory · Fixed Point Theorems Analysis · Approximation Theory and Sequence Spaces