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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
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
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
Linking options:
https://www.mathnet.ru/eng/pa308 https://www.mathnet.ru/eng/pa/v27/i3/p83
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