Representation of increasing convex functionals with countably additive measures
- Journal Article
We derive two types of representation results for increasing convex functionals in terms of countably additive measures. The first is a max-representation of functionals defined on spaces of real-valued continuous functions and the second a sup-representation of functionals defined on spaces of real-valued Borel measurable functions. Our assumptions consist of sequential semicontinuity conditions which are easy to verify in different applications. © 2021 Instytut Matematyczny PAN. Show more
Journal / seriesStudia Mathematica
Pages / Article No.
PublisherPolish Academy of Sciences
Subjectrepresentation theorems; increasing convex functionals; countably additive measures; regular measures
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