Eveson, S. (2003) Norms of Iterates of Volterra Operators on L^2. Journal of Operator Theory, 50 (2). pp. 369-386. ISSN 1841-7744
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Keywords: | Volterra operators |
| Academic Units: | The University of York > Mathematics (York) |
| Depositing User: | York RAE Import |
| Date Deposited: | 14 May 2009 15:50 |
| Last Modified: | 14 May 2009 15:50 |
| Status: | Published |
| Publisher: | The Theta Foundation |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/7662 |
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