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arXiv · 2310.14099

Three results in linear dynamics

Mohammad Ansari
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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.

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Mohammad Ansari. 2023-10-21. Three results in linear dynamics. https://arxiv.org/abs/2310.14099

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