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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 4, Pages 758–763
DOI: https://doi.org/10.33048/smzh.2021.62.405 (Mi smj7593) 		 
The subspace of almost convergent sequences

R. E. Zvolinskii, E. M. Semenov

Voronezh State University, Voronezh, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.405
Abstract: A bounded sequence of reals is called almost convergent if all Banach limits take the same value at it. We study the space of almost convergent sequences and operators related to this space.
Keywords: almost convergent sequence, Banach limits, space of bounded sequences.
Funding agency Grant number
Russian Science Foundation 19-11-00197
Received: 27.03.2021
Revised: 27.03.2021
Accepted: 14.04.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 4, Pages 616–620
DOI: https://doi.org/10.1134/S0037446621040054
Bibliographic databases:
Document Type: Article
UDC: 517.982.22
Language: Russian
Citation: R. E. Zvolinskii, E. M. Semenov, “The subspace of almost convergent sequences”, Sibirsk. Mat. Zh., 62:4 (2021), 758–763; Siberian Math. J., 62:4 (2021), 616–620
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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