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Banach limits: Invariance and functional characteristics

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Abstract

Banach limits invariant with respect to the Cesàro transform are studied. New functional characteristics of Banach limits are introduced and studied.

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Author information

Authors and Affiliations

  1. Belarussian State University, Minsk, 220030, Belarus

    E. A. Alekhno

  2. Voronezh State University, Voronezh, 394006, Russia

    E. M. Semenov

  3. University of New South Wales, Sydney, Australia

    F. A. Sukochev

  4. Chalmers University of Technology/University of Gothenburg, Gothenburg, Sweden

    A. S. Usachev

Authors
  1. E. A. Alekhno
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  2. E. M. Semenov
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  3. F. A. Sukochev
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  4. A. S. Usachev
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Corresponding authors

Correspondence to E. M. Semenov, F. A. Sukochev or A. S. Usachev.

Additional information

Original Russian Text © E.A. Alekhno, E.M. Semenov, F.A. Sukochev, A.S. Usachev, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 1, pp. 7–9.

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Alekhno, E.A., Semenov, E.M., Sukochev, F.A. et al. Banach limits: Invariance and functional characteristics. Dokl. Math. 96, 305–307 (2017). https://doi.org/10.1134/S1064562417040019

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  • DOI: https://doi.org/10.1134/S1064562417040019

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