A primal representation of the Monge-Kantorovich norm
Functional Analysis
2021-02-25 v1
Abstract
In this note, following \cite{Chitescuetal2014}, we show that the Monge-Kantorovich norm on the vector space of countably additive measures on a compact metric space has a primal representation analogous to the Hanin norm, meaning that similarly to the Hanin norm, the Monge-Kantorovich norm can be seen as an extension of the Kantorovich-Rubinstein norm from the vector subspace of zero-charge measures, implying a number of novel results, such as the equivalence of the Monge-Kantorovich and Hanin norms.
Keywords
Cite
@article{arxiv.2102.12280,
title = {A primal representation of the Monge-Kantorovich norm},
author = {Dávid Terjék},
journal= {arXiv preprint arXiv:2102.12280},
year = {2021}
}
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7 pages, 0 figures