Frequently recurrence properties and block families
Functional Analysis
2023-12-15 v4
Abstract
We prove that reiteratively hypercyclic operators have perfect spectrum. Consequently, it follows that there exist separable infinite dimensional Banach spaces that do not support any reiteratively hypercyclic operator. For this, we study -recurrence and almost -recurrence of operators for general families and in particular for a special class of families, called block families.
Cite
@article{arxiv.2204.13542,
title = {Frequently recurrence properties and block families},
author = {Rodrigo Cardeccia and Santiago Muro},
journal= {arXiv preprint arXiv:2204.13542},
year = {2023}
}