Li–Yorke chaos for composition operators on Orlicz spaces-Reference-Cited by-同舟云学术

Li–Yorke chaos for composition operators on Orlicz spaces

Published:2024-05-15 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Estaremi Yousef¹,Muhammad Shah²

Affiliation:

1. Department of Mathematics , Faculty of Sciences , 204390 Golestan University , Gorgan , Iran ; and School of Computer Science and Applied Mathematics, University of The Witwatersrand, 1 Jan Smuts Avenue, Braamfontein, Johannesburg, 2000, South Africa

2. Department of Mathematics , College of Science , 37850 King Saud University , P. O. Box 2455 , Riyadh 11451 , Saudi Arabia

Abstract

Abstract In this paper we characterize Li–Yorke chaotic composition operators on Orlicz spaces. Indeed, some necessary and sufficient conditions are provided for Li–Yorke chaotic composition operator C φ

{C_{\varphi}}

on the Orlicz space L Φ ⁢ ( μ )

{L^{\Phi}(\mu)}

. In some cases we have equivalent conditions for composition operators on Orlicz spaces to be Li–Yorke chaotic. The results of this paper extend similar results in L p

{L^{p}}

-spaces.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/forum-2022-0380/pdf

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