3 papers
math.FA2026
Free Banach lattices over pre-ordered Banach spaces
Marcel de Jeu, Xingni Jiang
We study free Banach lattices over pre-ordered Banach spaces in the category of Banach lattices of a given convexity type. These generalise the free Banach lattices under convexity…
math.FA2026
Riesz representation theorems for vector lattices and Banach lattices of regular operators
Marcel de Jeu, Xingni Jiang
For a non-empty locally compact Hausdorff space and a Dedekind complete normal vector lattice , we show that the vector lattice of norm to order bounded operators from ${\te…
math.FA2025
Central operators on complex Banach lattices
Marcel de Jeu, Xingni Jiang
We show that the centre of a Dedekind complete complex Banach lattice is a commutative -algebra in the order unit norm. This implies that the order unit norm and t…