Publication:
Duality and stable compactness in orlicz-type modules

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2023-RACSAM_Vol118-No18.pdf(371.19 KB)
Date
2023-10-30
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Authors
Zapata García, José Miguel ; Orihuela Calatayud, José
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Publisher
Springer
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Estadística e Investigación Operativa
DOI
https://doi.org/10.1007/s13398-023-01516-5
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info:eu-repo/semantics/article
Description
© The Author(s) 2023. This document is the Published version of a Published Work that appeared in final form in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. To access the final edited and published work see https://doi.org/10.1007/s13398-023-01516-5
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 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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Orlicz-type module , Stable compactness , Duality , Conditional risk measures
Citation
Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2024) 118:18
URI
http://hdl.handle.net/10201/149288
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