On orbits of truncated convolution operators
classification
🧮 math.FA
keywords
convolutiontruncatedoperatorsfinitelygeneratedhandinftyirregular
read the original abstract
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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