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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 1, Pages 123–144
DOI: https://doi.org/10.33048/smzh.2022.63.109 (Mi smj7646) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Erased Kantorovich spaces

A. G. Kusraevab, S. S. Kutateladzec

a Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.33048/smzh.2022.63.109
Abstract: An erased Kantorovich space is the lattice ordered additive group of a Kantorovich space. We study the special role of erased Kantorovich spaces in extending positive, dominated, and lattice homomorphisms and also the existence of unbounded polar-preserving group homomorphisms. Our method of study is Boolean-valued analysis.
Keywords: Boolean-valued analysis, Kantorovich space, Wickstead problem, Gordon's Theorem, ordered group, homomorphism, extension property.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075–02–2021–1844
0314–2019–0005
The research was supported by the Ministry of Science and Higher Education of the Russian Federation (Agreement 075–02–2021–1844) and carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0005).
Received: 21.11.2021
Revised: 21.11.2021
Accepted: 10.12.2021
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 1, Pages 102–118
DOI: https://doi.org/10.1134/S0037446622010098
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: A. G. Kusraev, S. S. Kutateladze, “Erased Kantorovich spaces”, Sibirsk. Mat. Zh., 63:1 (2022), 123–144; Siberian Math. J., 63:1 (2022), 102–118
Citation in format AMSBIB
\Bibitem{KusKut22}
\by A.~G.~Kusraev, S.~S.~Kutateladze
\paper Erased Kantorovich spaces
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 1
\pages 123--144
\mathnet{http://mi.mathnet.ru/smj7646}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4440270}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 1
\pages 102--118
\crossref{https://doi.org/10.1134/S0037446622010098}
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    • This publication is cited in the following 1 articles:
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