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arXiv · 2005.09557

New classes of hypercyclic Toeplitz operators

Evgeny Abakumov·Anton Baranov·Stéphane Charpentier·Andrei Lishanskii
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Abstract

We study hypercyclicity of Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $R(\overline{z}) +\phi(z)$, where $R$ is a rational function and $\phi \in H^\infty(\mathbb{D})$. We relate this problem to cyclicity of certain families of functions for analytic Toeplitz operators and give new sufficient conditions for hypercyclicity based on deep results of B. Solomyak.

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Evgeny Abakumov, Anton Baranov, Stéphane Charpentier, Andrei Lishanskii. 2020-05-19. New classes of hypercyclic Toeplitz operators. https://arxiv.org/abs/2005.09557

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