SL(n) covariant matrix-valued valuations on Orlicz spaces
Differential Geometry
2024-12-11 v1 Functional Analysis
Abstract
All continuous, SL(n) covariant valuations on Orlicz spaces are completely classified without any symmetric assumptions. It is shown that the moment matrix is the only such valuation if n\geq3, while a new functional shows up in dimension two.
Keywords
Cite
@article{arxiv.2412.07143,
title = {SL(n) covariant matrix-valued valuations on Orlicz spaces},
author = {Chunna Zeng and Yu Lan},
journal= {arXiv preprint arXiv:2412.07143},
year = {2024}
}