English

On orbits of truncated convolution operators

Functional Analysis 2010-08-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.1008.3484,
  title  = {On orbits of truncated convolution operators},
  author = {Stanislav Shkarin},
  journal= {arXiv preprint arXiv:1008.3484},
  year   = {2010}
}

Comments

To be submitted

R2 v1 2026-06-21T16:03:15.822Z