A quantitative interpretation of the frequent hypercyclicity criterion

Ernst, Romuald; Mouze, Augustin

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1017/etds.2017.55

Titre :

A quantitative interpretation of the frequent hypercyclicity criterion

Auteur(s) :

Ernst, Romuald [Auteur]
Mouze, Augustin [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centrale Lille

Titre de la revue :

Ergodic Theory and Dynamical Systems

Pagination :

898-924

Éditeur :

Cambridge University Press (CUP)

Date de publication :

2019

ISSN :

0143-3857

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$ -frequently hypercyclic, where $A$ ...
Lire la suite >We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$ -frequently hypercyclic, where $A$ refers to some weighted densities sharper than the natural lower density. In that order, we exhibit different scales of weighted densities that are of interest to quantify the ‘frequency’ measured by the frequent hypercyclicity criterion. Moreover, we construct an example of a unilateral weighted shift which is frequently hypercyclic but not $A$ -frequently hypercyclic on a particular scale.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Frontières de la théorie des opérateurs

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Fichiers

1611.04368
Accès libre
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