3 citations · 3 across the 3 of their papers we have counts for
5 papers · 1 filter
On the sequential monotone closure of spaces
Sukrit Chalana, Denny H. Leung, Foivos Xanthos
In this short note, we settle a problem posed by Wickstead in ~\cite{W:24}, arising from the study of the Riesz completion of spaces of regular operators between Banach lattices.
A universal approximation theorem and its applications to vector lattice theory
Eugene Bilokopytov, Foivos Xanthos
A classical result in approximation theory states that for any continuous function \( φ: \mathbb{R} \to \mathbb{R} \), the set \( \operatorname{span}\{φ\circ g : g \in \operatornam…
Pervasiveness of in
Quinn Kiervin Starkey, Foivos Xanthos
Let be Archimedean Riesz spaces, and let denote an order completion of . In this note, we provide necessary conditions under which the space of regular operators $\…
A Local Hahn-Banach Theorem and Its Applications
Niushan Gao, Denny H. Leung, Foivos Xanthos
An important consequence of the Hahn-Banach Theorem says that on any locally convex Hausdorff topological space , there are sufficiently many continuous linear functionals to se…
Duality for unbounded order convergence and applications
Niushan Gao, Denny H. Leung, Foivos Xanthos
Unbounded order convergence has lately been systematically studied as a generalization of almost everywhere convergence to the abstract setting of vector and Banach lattices. This…