Mathematics – Functional Analysis
Scientific paper
2004-09-27
Mathematics
Functional Analysis
8 pages
Scientific paper
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.
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