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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 3, Pages 83–98
DOI: https://doi.org/10.15393/j3.art.2020.8750
(Mi pa308)
 

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

Chaotic and hypercyclic operators on solid Banach function spaces

C.-C. Chena, S. M. Tabatabaieb

a Department of Mathematics Education, National Taichung University of Education, No. 140, Minsheng Rd., West Dist., Taichung 40306, Taiwan
b Department of Mathematics, Faculty of Science, University of Qom, Alghadir Blvd, Qom 3716146611, Iran
Full-text PDF (504 kB) Citations (4)
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Abstract: In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions. Some sufficient and necessary conditions for these operators to be chaotic are obtained as well.
Keywords: hypercyclic operator, chaotic operator, weighted translation operator, solid Banach function space, aperiodic function.
Received: 16.07.2020
Revised: 02.11.2020
Accepted: 03.11.2020
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 47A16
Language: English
Citation: C.-C. Chen, S. M. Tabatabaie, “Chaotic and hypercyclic operators on solid Banach function spaces”, Probl. Anal. Issues Anal., 9(27):3 (2020), 83–98
Citation in format AMSBIB
\Bibitem{CheTab20}
\by C.-C.~Chen, S.~M.~Tabatabaie
\paper Chaotic and hypercyclic operators on solid Banach function spaces
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 3
\pages 83--98
\mathnet{http://mi.mathnet.ru/pa308}
\crossref{https://doi.org/10.15393/j3.art.2020.8750}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000590954400005}
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  • https://www.mathnet.ru/eng/pa/v27/i3/p83
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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    Full-text PDF :45
    References:20
     
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