Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)
Functional Analysis
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0409516,
title = {Asymptotic behaviour of iterates of Volterra operators on L^p(0,1)},
author = {Simon Eveson},
journal= {arXiv preprint arXiv:math/0409516},
year = {2007}
}
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8 pages