Upper semicontinuous valuations on convex functions of one variable
Functional Analysis
2025-10-08 v1 Metric Geometry
Abstract
A classification of upper semicontinuous, translation and dually epi-translation invariant valuations is established on the space of convex Lipschitz function on with compact domain.
Cite
@article{arxiv.2510.05796,
title = {Upper semicontinuous valuations on convex functions of one variable},
author = {Fernanda M. Baêta},
journal= {arXiv preprint arXiv:2510.05796},
year = {2025}
}