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Metrization of a Space of Weakly Additive Functionals

K. BekzhanovaKarakalpak State University named after Berdakh, ul. Academician Abdirov 1, Nukus, 230113, Republic of Uzbekistan
Russian Mathematicsjournal2018en
ABI

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–Rubinshtein metric on a space O(X) of weakly additive normed functionals on a metric compact X.

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