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INVERSE OF FREQUENTLY HYPERCYCLIC OPERATORS

Part of: General theory of linear operators

Published online by Cambridge University Press:  04 February 2021

Quentin Menet Open the ORCID record for Quentin Menet [Opens in a new window]
Quentin Menet*
Affiliation:
Quentin Menet, Département de Mathématique, Université de Mons, 20 Place du Parc, 7000Mons, Belgique ([email protected])
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Abstract

We show that there exists an invertible frequently hypercyclic operator on $\ell ^1(\mathbb {N})$ whose inverse is not frequently hypercyclic.

Keywords

frequent hypercyclicityoperator of C-typeinvertible operator

MSC classification

Primary: 47A16: Cyclic vectors, hypercyclic and chaotic operators
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 21 , Issue 6 , November 2022 , pp. 1867 - 1886
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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