Skip to main content
SpringerLink
Log in

Supercyclic sequences of differential operators

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

Summary

Several necessary and sufficient conditions for a sequence of infinite order differential linear operators on spaces of holomorphic functions on a domain of the complex plane to be supercyclic or c-hypercyclic are given in this paper, so completing earlier work of the authors on hypercyclicity, which in turn extended Birkhoff--MacLane--Godefroy--Shapiro's theorems. A new, general eigenvalue criterium for supercyclicity is also provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Apdo. 1160, Avenida Reina Mercedes, 41080 Sevilla, Spain

    J.A. Prado-Tendero

Authors
  1. J.A. Prado-Tendero
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prado-Tendero, J. Supercyclic sequences of differential operators. Acta Math Hung 107, 89–108 (2005). https://doi.org/10.1007/s10474-005-0181-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10474-005-0181-3

Search

Navigation