Title :

On the Hypercyclicity Criterion for operators of Read's type

Author(s) :

Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Book title :

The Mathematical Legacy of Victor Lomonosov

Publisher :

De Gruyter

Publication date :

2020

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]
Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, that $T$ satisfies the ...
Show more >Let $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, that $T$ satisfies the Hypercyclicity Criterion.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL