3 papers
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…
math.FA2023
Embedded unbounded order convergent sequences in topologically convergent nets in vector lattices
Yang Deng, Marcel de Jeu
We show that, for a class of locally solid topologies on vector lattices, a topologically convergent net has an embedded sequence that is unbounded order convergent to the same lim…
math.FA2022
The order bidual of C(X) for a realcompact space
Marcel de Jeu, Jan Harm van der Walt
It is well known that the bidual of for a compact space , supplied with the Arens product, is isometrically isomorphic as a Banach algebra to $\mathrm C(\tilde X)…