Title :

Frequent hypercyclicity, chaos, and unconditional Schauder decompositions

Author(s) :

de la Rosa, Manuel [Auteur]
Frerick, Leonhard [Auteur]
Trier Universität = Trier University = Université de Trèves [Uni Trier]
Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Peris, Alfredo [Auteur]

Journal title :

Israel Journal of Mathematics

Pages :

389-399

Publisher :

Springer

Publication date :

2012

ISSN :

0021-2172

English keyword(s) :

Linear dynamical systems
hypercyclic
chaotic
and frequently hypercyclic operators
spaces with an unconditional Schauder decomposition

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. In contrast with the complex ...
Show more >We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. In contrast with the complex case, we observe that there are real Banach spaces with an unconditional basis which support no chaotic operator.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Dynamique des opérateurs

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T15:34:00Z