English

Strongly $n$-supercyclic operators

Functional Analysis 2014-01-07 v2

Abstract

In this paper, we are interested in the properties of a new class of operators, recently introduced by Shkarin, called strongly nn-supercyclic operators. This notion is stronger than nn-supercyclicity. We prove that such operators have interesting spectral properties and give examples and counter-examples answering some natural questions asked by Shkarin.

Cite

@article{arxiv.1205.3574,
  title  = {Strongly $n$-supercyclic operators},
  author = {Romuald Ernst},
  journal= {arXiv preprint arXiv:1205.3574},
  year   = {2014}
}
R2 v1 2026-06-21T21:04:49.960Z