Three results in linear dynamics

Mohammad Ansari

Three results in linear dynamics

Functional Analysis 2023-10-24 v1

Authors: Mohammad Ansari

Abstract

In this article, first we show that the Fr\'echet space $H(\Bbb D)$ cannot support strongly supercyclic weighted composition operators. Then we compute the constant $\epsilon$ for weighted backward shifts on $\ell^p$ ( $1\le p<\infty$ ) and $c_0$ . This constant is used to find strongly hypercyclic scalar multiples of non-invertible strongly supercyclic Banach space operators. Finally, we give an affirmative answer to a recent open question concerning supercyclic vectors.

Keywords

hypercyclicity banach spaces

Cite

@article{arxiv.2310.14099,
  title  = {Three results in linear dynamics},
  author = {Mohammad Ansari},
  journal= {arXiv preprint arXiv:2310.14099},
  year   = {2023}
}

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