Hypercyclicity of Composition Operators on Orlicz Function Spaces-Reference-Cited by-同舟云学术

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Hypercyclicity of Composition Operators on Orlicz Function Spaces

Published:2020-05-29 Issue:1 Volume:6 Page:34-41
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Jafari F.¹,Kamali Z.¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences , Shiraz Branch, Islamic Azad University , Shiraz , Iran

Abstract

Abstract In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are considered. It is shown that there is no hypercyclic multiplication operator on Orlicz spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2020-0003

Reference20 articles.

1. [1] F. Bayart, m-isometries on Banach spaces, Math.Nachr., 284 (17-18) (2011), 2141–2147.10.1002/mana.200910029

2. [2] F. Bayart and E. Atheron, Dynamics of linear operators, Cambridge Tracts in Mathematics 179, (2009).10.1017/CBO9780511581113

3. [3] J. P. Bés, Three problem’s on hypercyclic operators, Ph.D. thesis, Bowling Green State University, (1998).

4. [4] P. S. Bourdon and J. H. Shapiro, Cyclic phenomena for composition operators, Memoirs Amer. Math. Soc., 596 (1997). ISSN 0065-926610.1090/memo/0596

5. [5] C. C. Chen and W. S. Du, Some characterizations of disjoint topological transitivity on orlicz spaces, Journal of Inequalities and Applications, 88(1) (2018).10.1186/s13660-018-1681-3

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