A homogeneous decomposition theorem for valuations on convex functions
Metric Geometry
2020-05-15 v1 Functional Analysis
Abstract
The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation invariant valuations that are epi-homogeneous of degree are classified. By duality, corresponding results are obtained for valuations on finite-valued convex functions.
Cite
@article{arxiv.1908.10724,
title = {A homogeneous decomposition theorem for valuations on convex functions},
author = {A. Colesanti and M. Ludwig and F. Mussnig},
journal= {arXiv preprint arXiv:1908.10724},
year = {2020}
}
Comments
16 pages