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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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https://hal-amu.archives-ouvertes.fr/hal-03466292
Contributor : Stéphane Charpentier Connect in order to contact the contributor
Submitted on : Saturday, December 4, 2021 - 11:56:54 PM
Last modification on : Friday, January 14, 2022 - 3:41:27 AM

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

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