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math.FA2026
Relative uniform convergence and Archimedean property in pre-ordered vector spaces and Abelian groups
Ivan Emelyanenkov, Eduard Emelyanov
It is proved that, for a pre-ordered vector space , the quotient space is an Archimedeanization of , where is the closure of positive wedge in ru-topolo…
math.FA2026
On automatic continuity of operators from ordered to topological vector spaces
Eduard Emelyanov, Svetlana Gorokhova
We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic…