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Funktsional. Anal. i Prilozhen., 2007, Volume 41, Issue 4, Pages 79–82 (Mi faa2883)  

This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

On Strictly Weakly Mixing $C^*$-Dynamical Systems

F. M. Mukhamedov

National University of Uzbekistan named after M. Ulugbek

Abstract: We consider strictly ergodic and strictly weakly mixing $C^*$-dynamical systems. We establish that a system is strictly weakly mixing if and only if its tensor product is strictly ergodic and strictly weakly mixing. We also investigate some weighted uniform ergodic theorem with respect to $S$-Besicovitch sequences for strictly weakly mixing dynamical systems.

Keywords: strict ergodicity, strictly weak mixing, $C^*$-dynamical system, $S$-Besicovitch sequence

DOI: https://doi.org/10.4213/faa2883

Full text: PDF file (134 kB)
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English version:
Functional Analysis and Its Applications, 2007, 41:4, 311–313

Bibliographic databases:

UDC: 517.98
Received: 29.10.2005

Citation: F. M. Mukhamedov, “On Strictly Weakly Mixing $C^*$-Dynamical Systems”, Funktsional. Anal. i Prilozhen., 41:4 (2007), 79–82; Funct. Anal. Appl., 41:4 (2007), 311–313

Citation in format AMSBIB
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\by F.~M.~Mukhamedov
\paper On Strictly Weakly Mixing $C^*$-Dynamical Systems
\jour Funktsional. Anal. i Prilozhen.
\yr 2007
\vol 41
\issue 4
\pages 79--82
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\crossref{https://doi.org/10.4213/faa2883}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2411609}
\zmath{https://zbmath.org/?q=an:1171.37006}
\transl
\jour Funct. Anal. Appl.
\yr 2007
\vol 41
\issue 4
\pages 311--313
\crossref{https://doi.org/10.1007/s10688-007-0030-y}
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  • https://doi.org/10.4213/faa2883
  • http://mi.mathnet.ru/eng/faa/v41/i4/p79

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Mukhamedov F., “On tensor products of weak mixing vector sequences and their applications to uniquely $E$-weak mixing $C^∗$-dynamical systems”, Bull. Aust. Math. Soc., 85:1 (2012), 46–59  crossref  mathscinet  zmath  isi  scopus
    2. Ganiev I., Mukhamedov F., “Measurable Bundles of C-Dynamical Systems and Its Applications”, Positivity, 18:4 (2014), 687–702  crossref  mathscinet  zmath  isi  scopus
    3. Duvenhage R., Mukhamedov F., “Relative Ergodic Properties of C-Dynamical Systems”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 17:1 (2014), 1450005  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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