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Invariant Banach Limits and Their Convex Subsets

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Abstract

Sets of Banach limits invariant under dilation operators are studied. The convexity of such sets is investigated. Minimal subsets are introduced and studied.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, 394006, Russia

    R. E. Zvolinskii & E. M. Semenov

Authors
  1. R. E. Zvolinskii
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  2. E. M. Semenov
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Correspondence to R. E. Zvolinskii.

Additional information

Translated from Matematicheskie Zametki, 2022, Vol. 112, pp. 820–824 https://doi.org/10.4213/mzm13643.

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Zvolinskii, R.E., Semenov, E.M. Invariant Banach Limits and Their Convex Subsets. Math Notes 112, 881–884 (2022). https://doi.org/10.1134/S0001434622110220

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  • DOI: https://doi.org/10.1134/S0001434622110220

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