On orbits of truncated convolution operators

Details On orbits of truncated convolution operators On orbits of truncated convolution operators

2010-08-20

arxiv.org/abs/1008.3484v1

Mathematics

Functional Analysis

To be submitted

Scientific paper

We prove that a semigroup generated by a finitely many truncated convolution
operators on $L^p[0,1]$ with $1\leq p<\infty$ is non-supercyclic. On the other
hand, there is a truncated convolution operator, which possesses irregular
vectors.

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