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Matematicheskie Zametki, 2022, Volume 112, Issue 6, Pages 820–824
DOI: https://doi.org/10.4213/mzm13643 (Mi mzm13643) 		 
Invariant Banach Limits and Their Convex Subsets

R. E. Zvolinskii, E. M. Semenov

Voronezh State University
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DOI: https://doi.org/10.4213/mzm13643
Abstract: Sets of Banach limits invariant under dilation operators are studied. The convexity of such sets is investigated. Minimal subsets are introduced and studied.
Keywords: Banach limit, space of bounded sequences, dilation operator.
Received: 01.07.2022
Published: 04.12.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 6, Pages 881–884
DOI: https://doi.org/10.1134/S0001434622110220
Bibliographic databases:
Document Type: Article
UDC: 517.982.252
Language: Russian
Citation: R. E. Zvolinskii, E. M. Semenov, “Invariant Banach Limits and Their Convex Subsets”, Mat. Zametki, 112:6 (2022), 820–824; Math. Notes, 112:6 (2022), 881–884
Citation in format AMSBIB
\Bibitem{ZvoSem22}
\by R.~E.~Zvolinskii, E.~M.~Semenov
\paper Invariant Banach Limits and Their Convex Subsets
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 6
\pages 820--824
\mathnet{http://mi.mathnet.ru/mzm13643}
\crossref{https://doi.org/10.4213/mzm13643}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 6
\pages 881--884
\crossref{https://doi.org/10.1134/S0001434622110220}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85145100441}
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