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

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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 4, Pages 79–82
DOI: https://doi.org/10.4213/faa2883 (Mi faa2883)

This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On Strictly Weakly Mixing

C^{*}

$C^*$ -Dynamical Systems

F. M. Mukhamedov

National University of Uzbekistan named after M. Ulugbek

Full-text PDF (134 kB) Citations (4)

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

Abstract: We consider strictly ergodic and strictly weakly mixing

C^{*}

$C^*$ -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

$S$ -Besicovitch sequences for strictly weakly mixing dynamical systems.

Keywords: strict ergodicity, strictly weak mixing,

C^{*}

$C^*$ -dynamical system,

S

$S$ -Besicovitch sequence.

Received: 29.10.2005

English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 4, Pages 311–313
DOI: https://doi.org/10.1007/s10688-007-0030-y

Bibliographic databases:

Document Type: Article

UDC: 517.98

Language: Russian

Citation: F. M. Mukhamedov, “On Strictly Weakly Mixing

C^{*}

$C^*$ -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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https://doi.org/10.4213/faa2883

https://www.mathnet.ru/eng/faa/v41/i4/p79

This publication is cited in the following 4 articles:

Ganiev I., Mukhamedov F., “Measurable Bundles of C-Dynamical Systems and Its Applications”, Positivity, 18:4 (2014), 687–702
Duvenhage R., Mukhamedov F., “Relative Ergodic Properties of C-Dynamical Systems”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 17:1 (2014), 1450005
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
Farrukh Mukhamedov, “On strictly weak mixing C *-dynamical systems and a weighted ergodic theorem”, Studia Scientiarum Mathematicarum Hungarica, 47:2 (2010), 155

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

Functional Analysis and Its Applications

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