3 papers
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…
math.FA2025
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.FA2024
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…