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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 5, Pages 1122–1129
DOI: https://doi.org/10.33048/smzh.2020.61.513 (Mi smj6042) 		 
Extreme points of the set of dilation–invariant banach limits

A. S. Usachev

Central South University, Changsha
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DOI: https://doi.org/10.33048/smzh.2020.61.513
Abstract: We prove that the set of extreme points of the set of dilation–invariant Banach limits is unclosed in the weak$^*$ topology.
Keywords: Banach limits, dilation, extreme points.
Funding agency Grant number
Russian Science Foundation 19-11-00197
The author was supported by the Russian Science Foundation (Grant 19–11–00197).
Received: 18.03.2020
Revised: 06.06.2020
Accepted: 17.06.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 5, Pages 895–900
DOI: https://doi.org/10.1134/S0037446620050134
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
MSC: 35R30
Language: Russian
Citation: A. S. Usachev, “Extreme points of the set of dilation–invariant banach limits”, Sibirsk. Mat. Zh., 61:5 (2020), 1122–1129; Siberian Math. J., 61:5 (2020), 895–900
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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