English

Subspaces of frequently hypercyclic functions for sequences of composition operators

Complex Variables 2024-02-09 v2

Abstract

In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely, except for zero, of functions that are frequently hypercyclic.

Keywords

Cite

@article{arxiv.1712.06339,
  title  = {Subspaces of frequently hypercyclic functions for sequences of composition operators},
  author = {Luis Bernal-González and M. Carmen Calderón-Moreno and Andreas Jung and José A. Prado Bassas},
  journal= {arXiv preprint arXiv:1712.06339},
  year   = {2024}
}
R2 v1 2026-06-22T23:21:21.695Z