English

A short proof of the existence of disjoint hypercyclic operators

Functional Analysis 2012-09-07 v1

Abstract

We give a short proof of the existence of disjoint hypercyclic tuples of operators of any given length on any separable infinite dimensional Frechet space. A similar argument provides disjoint dual hypercyclic tuples of operators of any length on any infinite dimensional Banach space with separable dual.

Keywords

Cite

@article{arxiv.1209.1212,
  title  = {A short proof of the existence of disjoint hypercyclic operators},
  author = {Stanislav Shkarin},
  journal= {arXiv preprint arXiv:1209.1212},
  year   = {2012}
}