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math.FA2025
A note on disjointness and discrete elements in partially ordered vector spaces
Jani Jokela
The notions of disjointness and discrete elements play a prominent role in the classical theory of vector lattices. There are at least three different generalizations of the notion…
math.FA2022
Compatible topologies on mixed lattice vector spaces
Jani Jokela
A mixed lattice vector space is a partially ordered vector space with two partial orderings, generalizing the notion of a Riesz space. Whereas the algebraic theory of mixed lattice…