English

The frequent hypercyclicity of unbounded operator

Functional Analysis 2025-04-16 v1

Abstract

We establish two Frequent Hypercyclicity Criteria for unbounded operators, inspired by the frameworks of Bayart Grivaux and deLaubenfels Emamirad Grosse Erdmann. These criteria simplify the verification and construction of frequently hypercyclic operators.

Keywords

Cite

@article{arxiv.2504.11395,
  title  = {The frequent hypercyclicity of unbounded operator},
  author = {Xiongxun Huang and Yonglu Shu},
  journal= {arXiv preprint arXiv:2504.11395},
  year   = {2025}
}
R2 v1 2026-06-28T22:59:26.131Z