Metrization of a space of weakly additive functionals

K. Begzhanova

Karakalpak State University named after Berdakh, 1 Ac. Abdirov str., Nukus, 230113 Republic of Uzbekistan

Abstract: We investigate a space of weakly additive, order-preserving, normed and positively homogeneous functionals on a metric compact. We construct an analog of modified Kantorovich–Rubinshein metric on a space $O(X)$ of weakly additive normed functionals on a metric compact $X$.

Keywords: weakly additive functional, order-preserving functional, Kantorovich–Rubinstein metric, metrization.

Received: 21.11.2017

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:3, 1–5

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