# Convex Increasing Functionals on Cb(X) Spaces

arXiv: https://arxiv.org/abs/2209.08140 · HTML: https://mlsanity.com/paper/2209.08140/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Sep 2022.

## Built on by (most cited first, 1 of 1)

- [Neural operators approximate strongly continuous convex monotone semigroups](https://mlsanity.com/paper/2609.02727/) (2026)

## Abstract (arXiv)

We prove that convex functions on a Cb(X) space satisfying a mild continuity condition can be represented using sigma additive measures. This generalises a result of Cheridito, Kupper and Tangpi,