English

Operators approximable by hypercyclic operators

Functional Analysis 2014-10-28 v1

Abstract

We show that operators on a separable infinite dimensional Banach space XX of the form I+SI +S, where SS is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on XX, in fact in the closure of the mixing operators.

Keywords

Cite

@article{arxiv.1410.7242,
  title  = {Operators approximable by hypercyclic operators},
  author = {James Boland},
  journal= {arXiv preprint arXiv:1410.7242},
  year   = {2014}
}
R2 v1 2026-06-22T06:37:19.321Z