Eveson, S. (2003) Norms of Iterates of Volterra Operators on L^2. Journal of Operator Theory, 50 (2). pp. 369-386. ISSN 1841-7744
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.
|Institution:||The University of York|
|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|
|Publisher:||The Theta Foundation|