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The set of Banach limits and its discrete and continuous subsets
- Authors: Avdeev N.N.1, Zvolinskii R.E.1, Semenov E.M.1, Usachev A.S.1,2
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Affiliations:
- Voronezh State University
- Central South University
- Issue: Vol 518, No 1 (2024)
- Pages: 61-64
- Section: MATHEMATICS
- URL: https://consilium.orscience.ru/2686-9543/article/view/647994
- DOI: https://doi.org/10.31857/S2686954324040092
- EDN: https://elibrary.ru/YYXBPO
- ID: 647994
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Abstract
The note states criteria for a Banach limit to belong to discrete or to continuous part of the set of Banach limits. Diameters and radii of these parts are found, too.
About the authors
N. N. Avdeev
Voronezh State University
Author for correspondence.
Email: nickkolok@mail.ru
Russian Federation, Voronezh
R. E. Zvolinskii
Voronezh State University
Email: roman.zvolinskiy@gmail.com
Russian Federation, Voronezh
E. M. Semenov
Voronezh State University
Email: nadezhka_ssm@geophys.vsu.ru
Russian Federation, Voronezh
A. S. Usachev
Voronezh State University; Central South University
Email: dr.alex.usachev@gmail.com
Russian Federation, Voronezh; Changsha, Hunan, People's Republic of China
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