Dynamics of weighted shifts on directed trees
Functional Analysis
2021-06-29 v3
Abstract
We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercyclic, weakly mixing and mixing.
Cite
@article{arxiv.2012.15542,
title = {Dynamics of weighted shifts on directed trees},
author = {Karl-G. Grosse-Erdmann and Dimitris Papathanasiou},
journal= {arXiv preprint arXiv:2012.15542},
year = {2021}
}