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Browsing by Subject "Stable compactness"

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    Duality and stable compactness in orlicz-type modules
    (Springer, 2023-10-30) Zapata García, José Miguel; Orihuela Calatayud, José; Estadística e Investigación Operativa
    Orlicz-type modules are module analogues of classical Orlicz spaces. We study duality and stable compactness in Orlicz-type modules. We characterize the conditional Köthe 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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