Skip to main content
SpringerLink
Log in

Non-supercyclicity of Volterra Convolution and Related Operators

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract.

We show that if V α (α > 0) is the Riemann-Liouville fractional integration operator and T is an invertible operator on L 2(0, 1) which commutes with V , then TV α is not supercyclic on L 2(0, 1); in particular, many Volterra convolution operators are not supercyclic. The technique is based on an argument used by Gallardo-Gutiérrez and Montes-Rodríguez to show that V is not supercyclic.

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. Department of Mathematics, University of York, Heslington, York, YO10 5DD, England

    S. P. Eveson

Authors
  1. S. P. Eveson
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. P. Eveson.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eveson, S.P. Non-supercyclicity of Volterra Convolution and Related Operators. Integr. equ. oper. theory 62, 585–589 (2008). https://doi.org/10.1007/s00020-008-1625-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00020-008-1625-2

Keywords.

Search

Navigation