Convex increasing functionals on $C_b(X)$ spaces
Volume 271 / 2023
Studia Mathematica 271 (2023), 107-120
MSC: Primary 47H07; Secondary 28C05, 28C15.
DOI: 10.4064/sm220927-26-1
Published online: 6 March 2023
Abstract
We prove that convex functions on a $C_b(X)$ space satisfying a mild continuity condition can be represented using $\sigma $-additive measures. This generalises a result of Cheridito, Kupper and Tangpi [Studia Math. 260 (2021), 121–140].
