A QUANTITATIVE INTERPRETATION OF THE FREQUENT HYPERCYCLICITY CRITERION

Ernst, Romuald; Mouze, A

Type de document :

Pré-publication ou Document de travail

DOI :

10.1017/etds.2017.55

Titre :

A QUANTITATIVE INTERPRETATION OF THE FREQUENT HYPERCYCLICITY CRITERION

Auteur(s) :

Ernst, Romuald [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Mouze, A [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centrale Lille

Mot(s)-clé(s) en anglais :

Frequent Hypercyclicity Criterion
Weighted densities

Discipline(s) HAL :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

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 refers ...
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 unilateral weighted shift which is frequently hypercyclic but not A-frequently hypercyclic on a particular scale.Lire moins >

Langue :

Anglais

Projet ANR :

Frontières de la théorie des opérateurs

Collections :