Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)

dc.creatorEveson, Simon
dc.date2004-09-27
dc.date.accessioned2026-07-07T05:12:37Z
dc.date.available2026-07-07T05:12:37Z
dc.descriptionWe 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0409516
dc.identifierhttp://arxiv.org/abs/math/0409516
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72639
dc.subjectFunctional Analysis
dc.subject47G10
dc.titleAsymptotic behaviour of iterates of Volterra operators on L^p(0,1)
dc.typetext

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