Duality and stable compactness in Orlicz-type modules
Functional Analysis
2023-11-14 v5
Abstract
Orlicz-type modules are module analogues of classical Orlicz spaces. We study duality and stable compactness in Orlicz-type modules. We characterize the conditional K\"{o}the dual of an Orlicz-type module as the space of all -order continuous module homomorphisms. We find an order continuity criterion for stable compactness in Orlicz-type modules. As an application, we obtain a robust representation result for conditional risk measures on Orlicz spaces.
Cite
@article{arxiv.1612.03680,
title = {Duality and stable compactness in Orlicz-type modules},
author = {José Orihuela and José Miguel Zapata},
journal= {arXiv preprint arXiv:1612.03680},
year = {2023}
}