On linear chaos in function spaces
Functional Analysis
2022-05-09 v6 Dynamical Systems
Abstract
We show that, in (), bounded weighted translations as well as their unbounded counterparts are chaotic linear operators. We also extend the unbounded case to and describe the spectra of the weighted translations provided the underlying spaces are complex.
Cite
@article{arxiv.1912.03402,
title = {On linear chaos in function spaces},
author = {John M. Jimenez and Marat V. Markin},
journal= {arXiv preprint arXiv:1912.03402},
year = {2022}
}
Comments
Minor edits. There is a text overlap with arXiv:2106.09682 and arXiv:2106.14872 in the Preliminaries section containing introductory information, definitions, and general remarks