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Journal Articles Bulletin des Sciences Mathématiques Year : 2021

NEW CLASSES OF HYPERCYCLIC TOEPLITZ OPERATORS

Abstract

We study hypercyclicity of Toeplitz operators in the Hardy space H 2 (D) with symbols of the form R(z) + ϕ(z), where R is a rational function and ϕ ∈ H ∞ (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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Dates and versions

hal-03466292 , version 1 (04-12-2021)

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Attribution - NonCommercial - NoDerivatives - CC BY 4.0

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Evgeny Abakumov, Anton Baranov, Stéphane Charpentier, Andrei Lishanskii. NEW CLASSES OF HYPERCYCLIC TOEPLITZ OPERATORS. Bulletin des Sciences Mathématiques, 2021, 168, pp.102971. ⟨10.1016/j.bulsci.2021.102971⟩. ⟨hal-03466292⟩
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