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The Subspace of Almost Convergent Sequences

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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.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    R. E. Zvolinskii & E. M. Semenov

Authors
  1. R. E. Zvolinskii
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  2. E. M. Semenov
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Corresponding author

Correspondence to R. E. Zvolinskii.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 4, pp. 758–763. https://doi.org/10.33048/smzh.2021.62.405

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Zvolinskii, R.E., Semenov, E.M. The Subspace of Almost Convergent Sequences. Sib Math J 62, 616–620 (2021). https://doi.org/10.1134/S0037446621040054

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  • DOI: https://doi.org/10.1134/S0037446621040054

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