5 papers
On Prudence of Risk Measures
Niushan Gao, Denny H. Leung, Foivos Xanthos
Prudence is a stability property of risk functionals recently introduced by Wang and Zitikis and subsequently studied by Amarante and Liebrich. In this paper, we first establish ge…
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 \( Ï: \mathbb{R} \to \mathbb{R} \), the set \( \operatorname{span}\{Ï\circ g : g \in \operatorn…
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.
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 note on continuity and asymptotic consistency of measures of risk and variability
Niushan Gao, Foivos Xanthos
In this short note, we show that every convex, order bounded above functional on a Frechet lattice is automatically norm continuous. This improves a result in \cite{RS06} and appli…