$ε$-hypercyclic operators that are not $δ$-hypercyclic for $δ$ < $ε$

Frédéric Bayart

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arXiv · 2303.16677

$ε$-hypercyclic operators that are not $δ$-hypercyclic for $δ$ < $ε$

Frédéric Bayart

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Abstract

For every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).

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BibTeX RIS

Frédéric Bayart. 2023-03-29. $ε$-hypercyclic operators that are not $δ$-hypercyclic for $δ$ < $ε$. https://arxiv.org/abs/2303.16677

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