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

In 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 𝔺.

Bibliographic Details
Main Authors: Sanooj B., Vinodkumar P.B.
Format: Article
Language:English
Published: De Gruyter 2020-10-01
Series:Concrete Operators
Subjects:
Online Access:http://www.degruyter.com/view/j/conop.2020.7.issue-1/conop-2020-0105/conop-2020-0105.xml?format=INT