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math.FA2026
Order convergence in ordered vector spaces: compactness, atoms, pervasiveness, and ice cream spaces
Eugene Bilokopytov, Mark Roelands, Samuel Tiersma +3
We study order convergence in ordered vector spaces that are not necessarily lattices. In this setting, we consider two generalizations of order convergence on vector lattices, a d…
math.FA2026
The Riesz-Kantorovich formulas for -vector lattices
Tomas Chamberlain, Marten Wortel
Let be a Dedekind complete unital -algebra. We prove the Riesz-Kantorovich formulas for order bounded -module homomorphisms from a directed partially or…