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.
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
\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/pa308
https://www.mathnet.ru/eng/pa/v27/i3/p83
This publication is cited in the following 4 articles:
Chung-Chuan Chen, “Topologically Multiple Recurrence and Disjoint Topological Transitivity on Orlicz Spaces”, Iran J Sci, 47:3 (2023), 951
Stefan Ivković, Seyyed Mohammad Tabatabaie, “Hypercyclic Generalized Shift Operators”, Complex Anal. Oper. Theory, 17:5 (2023)
Seyyed Mohammad Tabatabaie, Stefan Ivković, “Linear dynamics of discrete cosine functions on solid Banach function spaces”, Positivity, 25:4 (2021), 1437
Stefan Ivković, Seyyed Mohammad Tabatabaie, “Hypercyclic Translation Operators on the Algebra of Compact Operators”, Iran J Sci Technol Trans Sci, 45:5 (2021), 1765
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