Frequent universality criterion and densities
Functional Analysis
2018-07-12 v1
Abstract
We improve a recent result by giving the optimal conclusion possible both to the frequent universality criterion and the frequent hypercyclicity criterion using the notion of A-densities, where A refers to some weighted densities sharper than the natural lower density. Moreover we construct an operator which is logarithmically-frequently hypercyclic but not frequently hypercyclic.
Cite
@article{arxiv.1807.04171,
title = {Frequent universality criterion and densities},
author = {Romuald Ernst and A Mouze},
journal= {arXiv preprint arXiv:1807.04171},
year = {2018}
}