Abstract
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 suprepresentation 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.
Original language | English (US) |
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Pages (from-to) | 121-140 |
Number of pages | 20 |
Journal | Studia Mathematica |
Volume | 260 |
Issue number | 2 |
DOIs | |
State | Published - 2021 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Countably additive measures
- Increasing convex functionals
- Regular measures
- Representation theorems