Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions

Bensaid, Ikram Fatima Zohra; González Ortiz, Manuel; León-Saavedra, Fernando; Romero de la Rosa, María Pilar

doi:10.1016/j.jfa.2022.109391

Ver/Abrir

HypercyclicityOperat ... (543.1Kb)

Identificadores

URI: https://hdl.handle.net/10902/32433

DOI: 10.1016/j.jfa.2022.109391

ISSN: 0022-1236

ISSN: 1096-0783

Fecha

2022-04

Derechos

Publicado en

Journal of Functional Analysis, 2022, 282(8), 109391

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.jfa.2022.109391

Palabras clave

Space of entire functions

Differentiation operator

Extended eigenoperators

Hypercyclic operators

Resumen/Abstract

An operator Tacting on a separable F-space Xis called hypercyclic if there exists f ∈ X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is hypercyclic, extending results by G. Godefroy and J. H. Shapiro and R. M. Aron and D. Markose.

Colecciones a las que pertenece

D21 Artículos [417]
D21 Proyectos de Investigación [326]

© 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Excepto si se señala otra cosa, la licencia del ítem se describe como © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).