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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 6, Pages 1164–1172
DOI: https://doi.org/10.33048/smzh.2024.65.608 (Mi smj7916) 		 
Invariant Banach limits and singular traces

R. E. Zvolinskiia, E. M. Semenova, A. S. Usachevb

a Voronezh State University, Voronezh, Russia
b Central South University, Changsha, China
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DOI: https://doi.org/10.33048/smzh.2024.65.608
Abstract: We study the geometry of subsets of Banach limits and Cesàro invariant Banach limits. The results are applied to the theory of singular traces.
Keywords: Banach limits, functional characteristic, invariant Banach limits, singular traces.
Funding agency Grant number
Russian Science Foundation 24-21-00220
Foundation for the Development of Theoretical Physics and Mathematics BASIS
Zvolinskii and Semenov were supported by the Russian Science Foundation (Grant no. 24–21–00220). Usachev was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS.”
Received: 07.07.2024
Revised: 19.08.2024
Accepted: 20.08.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 6, Pages 1336–1342
DOI: https://doi.org/10.1134/S0037446624060089
Document Type: Article
UDC: 517.982.22
MSC: 35R30
Language: Russian
Citation: R. E. Zvolinskii, E. M. Semenov, A. S. Usachev, “Invariant Banach limits and singular traces”, Sibirsk. Mat. Zh., 65:6 (2024), 1164–1172; Siberian Math. J., 65:6 (2024), 1336–1342
Citation in format AMSBIB
\Bibitem{ZvoSemUsa24}
\by R.~E.~Zvolinskii, E.~M.~Semenov, A.~S.~Usachev
\paper Invariant Banach limits and singular traces
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 6
\pages 1164--1172
\mathnet{http://mi.mathnet.ru/smj7916}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 6
\pages 1336--1342
\crossref{https://doi.org/10.1134/S0037446624060089}
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