2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72639We 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.8 pagesFunctional Analysis47G10Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)text