Baire theorem and hypercyclic algebras

Abstract : The question of whether a hypercyclic operator $T$ acting on a Fréchet algebra $X$ admits or not an algebra of hypercyclic vectors (but 0) have been explored in the recent literature. Analogous questions arise for stronger properties like frequent hypercyclicity, common hypercyclicity and disjoint hypercyclicity. In this paper we run over several different topics on this trend.
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https://hal.archives-ouvertes.fr/hal-02308466
Contributor : Frédéric Bayart <>
Submitted on : Wednesday, October 9, 2019 - 7:14:34 PM
Last modification on : Saturday, October 12, 2019 - 1:23:35 AM

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  • HAL Id : hal-02308466, version 1
  • ARXIV : 1910.05000

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Frédéric Bayart, Fernando Costa Júnior, Dimitris Papathanasiou. Baire theorem and hypercyclic algebras. 2019. ⟨hal-02308466⟩

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