Hypercyclicity of operators that $\lambda$-commute with the Hardy backward shift
Functional Analysis
2023-07-06 v1
Abstract
An operator acting on a separable complex Hilbert space is said to be hypercyclic if there exists such that the orbit is dense in . Godefroy and Shapiro \cite{GoSha} characterized those elements in the commutant of the Hardy backward shift which are hypercyclic. In this paper we study some dynamics properties of operators that -commute with the Hardy backward shift , that is, .
Cite
@article{arxiv.2307.02271,
title = {Hypercyclicity of operators that $\lambda$-commute with the Hardy backward shift},
author = {Mohamed Amouch and Fernando León-Saavedra and M. P. Romero de la Rosa},
journal= {arXiv preprint arXiv:2307.02271},
year = {2023}
}