Li-Yorke chaotic eigen set of the backward shift operator on ℓ2(𝕅)-Reference-Cited by-同舟云学术

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Li-Yorke chaotic eigen set of the backward shift operator on ℓ2(𝕅)

Published:2020-10-27 Issue:1 Volume:7 Page:180-182
ISSN:2299-3282
Container-title:Concrete Operators
language:
Short-container-title:

Author:

Sanooj B.¹,Vinodkumar P.B.²

Affiliation:

1. Department of Mathematics, College of Engineering Trivandrum, Thiruvananthapuram, APJ Abdul Kalam Technological University, India

2. Centre for Topology and Applications, Department of Mathematics, Rajagiri School of Engineering and Technology, Kochi, APJ Abdul Kalam Technological University, India

Abstract

AbstractIn this paper, we prove our main result that the Li-Yorke chaotic eigen set of a positive integer multiple of the backward shift operator on ℓ2 (𝕅) is a disk in the complex plane 𝔺 and the union of such Li-Yorke chaotic eigen set’s is the whole complex plane 𝔺.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2020-0105/pdf

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Eigenvalues of Generalized Shift Operators Over $$\ell ^p(\tau )$$ Spaces;Iranian Journal of Science;2024-06-24

2. Li-Yorke Chaotic Eigen Set of Direct Sum of Linear Operators;PROOF;2022-09-13

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