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arXiv · 2102.12280

A primal representation of the Monge-Kantorovich norm

Dávid Terjék
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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.

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Dávid Terjék. 2021-02-24. A primal representation of the Monge-Kantorovich norm. https://arxiv.org/abs/2102.12280

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