Common upper frequent hypercyclicity
Functional Analysis
2018-04-17 v2 Dynamical Systems
Abstract
Considering a family of upper frequently hypercyclic operators we care about the existence of vectors which are upper frequently hypercyclic for any operator of this family. We establish sufficient conditions for a family of operators to have these vectors called common upper frequently hypercyclic vectors. Using this result, we then give a construction of such vectors. Finally we derive some applications to families of weighted shifts.
Cite
@article{arxiv.1804.02951,
title = {Common upper frequent hypercyclicity},
author = {Monia Mestiri},
journal= {arXiv preprint arXiv:1804.02951},
year = {2018}
}