3 papers
math.GR2025
Partially ordered semigroups and groups with two mixed partial orderings
Jani Jokela
A mixed lattice is a partially ordered set with two mixed partial orderings that are linked by asymmetric upper and lower envelopes. These notions generalize the join and meet oper…
math.OC2022
Mixed lattice structures and cone projections
Jani Jokela
Problems related to projections on closed convex cones are frequently encountered in optimization theory and related fields. To study these problems, various unifying ideas have be…
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…