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arXiv · 1612.03680

Duality and stable compactness in Orlicz-type modules

José Orihuela·José Miguel Zapata
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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 $\sigma$-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.

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José Orihuela, José Miguel Zapata. 2016-12-12. Duality and stable compactness in Orlicz-type modules. https://doi.org/10.1007/s13398-023-01516-5

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