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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 518, Pages 61–64
DOI: https://doi.org/10.31857/S2686954324040092 (Mi danma551) 		 
MATHEMATICS

The set of Banach limits and its discrete and continuous subsets

N. N. Avdeeva, R. E. Zvolinskiia, E. M. Semenova, A. S. Usachevab

a Voronezh State University, Voronezh, Russia
b Central South University, Changsha
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DOI: https://doi.org/10.31857/S2686954324040092
Abstract: Criteria for a Banach limit to belong to the discrete or continuous part of the set of Banach limits are presented. The diameters and radii of these parts are found.
Keywords: Banach limits, invariant Banach limits, diameter and radius of a set.
Funding agency Grant number
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 22-7-2-27-3
The first, second, and fourth authors acknowledge the support of the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”, project no. 22-7-2-27-3.
Presented: S. V. Kislyakov
Received: 05.07.2023
Revised: 20.07.2024
Accepted: 24.07.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 1, Pages 346–348
DOI: https://doi.org/10.1134/S106456242470217X
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
Language: Russian
Citation: N. N. Avdeev, R. E. Zvolinskii, E. M. Semenov, A. S. Usachev, “The set of Banach limits and its discrete and continuous subsets”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024), 61–64; Dokl. Math., 110:1 (2024), 346–348
Citation in format AMSBIB
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\by N.~N.~Avdeev, R.~E.~Zvolinskii, E.~M.~Semenov, A.~S.~Usachev
\paper The set of Banach limits and its discrete and continuous subsets
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 518
\pages 61--64
\mathnet{http://mi.mathnet.ru/danma551}
\crossref{https://doi.org/10.31857/S2686954324040092}
\elib{https://elibrary.ru/item.asp?id=74176080}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 1
\pages 346--348
\crossref{https://doi.org/10.1134/S106456242470217X}
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