%0 Journal Article %T Asymptotic behaviour of iterates of Volterra operators on L^p(0,1) %A Simon Eveson %J Mathematics %D 2004 %I arXiv %X We derive asymptotic information on the iterates of a Volterra convolution operator acting on L^p(0,1), subject to a mild smoothness condition on the kernel. In particular, an asymptotically equal sequence of rank 1 operators is obtained, leading to a simple asymptotic formula for the operator norms of the iterates. %U http://arxiv.org/abs/math/0409516v1