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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 3, Pages 3–8 (Mi ivm9333)  
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
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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, Volume 62, Issue 3, Pages 1–5
DOI: https://doi.org/10.3103/S1066369X18030015
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Document Type: Article
Language: Russian
Citation: K. Begzhanova, “Metrization of a space of weakly additive functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 3–8; Russian Math. (Iz. VUZ), 62:3 (2018), 1–5
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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