Norms of Iterates of Volterra Operators on L^2

Research output: Contribution to journalArticlepeer-review

Author(s)

Department/unit(s)

Publication details

JournalJournal of Operator Theory
DatePublished - 2003
Issue number2
Volume50
Number of pages17
Pages (from-to)369-386
Original languageEnglish

Abstract

It has recently been established that if V is the classical Volterra (indefinite integration) operator acting on the Hilbert space L2([0, 1]), then the operator and Hilbert-Schmidt norms of V n are both asymptotically 1/(2n!). We extend this in two ways: firstly, we give a generalisation which applies to Volterra convolution operators with kernels satisfying a mild smoothness condition, and secondly we show that in the constant-kernel case the same asymptotic behaviour is shared by the trace norm, and hence by a wide class of operator norms.

    Research areas

  • Volterra operators

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations