PreprintarXiv licencearXiv
Dynamical Properties of Perturbed Weighted Shifts
Abstract
In this paper, sufficient conditions are established for diagonal perturbations of weighted shifts to be supercyclic, hypercyclic, and frequently hypercyclic, extending several classical results for weighted shifts to this more general setting. In addition, a complete analytic characterization of the shadowing property for these operators is obtained. Consequently, examples of frequently hypercyclic perturbed weighted shifts with the shadowing property are constructed.
Related
- The Beurling-type theorem for powers of weighted Bergman shifts
- Wold-type decompositions for norm-increasing m-concave weighted shifts on directed trees
- Convex-cyclic and super convex-cyclic weighted shifts
- Anomalous properties of 2D active scalars perturbed by rough transport noise
- Dynamics of Weighted Backward Shifts on Cesàro Spaces of Rooted Trees
BibTeX
@misc{messaoudi2026dynamical,
title = {{Dynamical Properties of Perturbed Weighted Shifts}},
author = {Ali Messaoudi and José Luiz Tofanin Neto and Ioannis Tsokanos},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15023},
eprint = {2610.15023},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15023},
}
RIS
TY - UNPB
TI - Dynamical Properties of Perturbed Weighted Shifts
AU - Ali Messaoudi
AU - José Luiz Tofanin Neto
AU - Ioannis Tsokanos
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.15023
UR - https://arxiv.org/abs/2610.15023
AB - In this paper, sufficient conditions are established for diagonal perturbations of weighted shifts to be supercyclic, hypercyclic, and frequently hypercyclic, extending several classical results for weighted shifts to this more general setting. In addition, a complete analytic characterization of the shadowing property for these operators is obtained. Consequently, examples of frequently hypercyclic perturbed weighted shifts with the shadowing property are constructed.
ER -