1LAMA - Laboratoire Analyse et Mathématiques Appliquées (Université Gustave Eiffel, 5 boulevard Descartes, F-77454 Marne-la-Vallée, France
Université Paris-Est Créteil LAMA UMR CNRS 8050 UFR des Sciences et Technologie
Bâtiment P3 - 4ème étage -61, avenue du Général de Gaulle 94010 Créteil Cedex - France)
ECM - École Centrale de Marseille : UMR7373 (Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille - France)
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.
https://hal-amu.archives-ouvertes.fr/hal-03466292 Contributor : Stéphane CharpentierConnect in order to contact the contributor Submitted on : Saturday, December 4, 2021 - 11:56:54 PM Last modification on : Sunday, June 26, 2022 - 3:22:53 AM Long-term archiving on: : Saturday, March 5, 2022 - 6:21:16 PM
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⟩