CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES

CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES

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.

Bibliographic Details
Main Authors: C-C. Chen, S. M. Tabatabaie
Format: Article
Language:English
Published: Petrozavodsk State University 2020-11-01
Series:Проблемы анализа
Subjects:
hypercyclic operator
chaotic operator
weighted translation operator
solid banach function space
aperiodic function
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8750&lang=ru

Internet

http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=8750&lang=ru

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