Titre :

Hilbertian Jamison sequences and rigid dynamical systems

Auteur(s) :

Eisner, Tanja [Auteur]
Leipzig University / Universität Leipzig
Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Journal of Functional Analysis

Pagination :

2013-2052

Éditeur :

Elsevier

Date de publication :

2011-10

ISSN :

0022-1236

Mot(s)-clé(s) en anglais :

Linear dynamical systems
partially power-bounded operators
point spectrum of operators
hypercyclicity
weak mixing and rigid dynamical systems
topologically rigid dynamical systems

Discipline(s) HAL :

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

Résumé en anglais : [en]

A strictly increasing sequence (n k) k≥0 of positive integers is said to be a Hilbertian Jamison sequence if for any bounded operator T on a separable Hilbert space such that sup k≥0 ||T n k || < +∞, the set of eigenvalues ...
Lire la suite >A strictly increasing sequence (n k) k≥0 of positive integers is said to be a Hilbertian Jamison sequence if for any bounded operator T on a separable Hilbert space such that sup k≥0 ||T n k || < +∞, the set of eigenvalues of modulus 1 of T is at most countable. We first give a complete characterization of such sequences. We then turn to the study of rigidity sequences (n k) k≥0 for weakly mixing dynamical systems on measure spaces, and give various conditions, some of which are closely related to the Jamison condition, for a sequence to be a rigidity sequence. We obtain on our way a complete characterization of topological rigidity and uniform rigidity sequences for linear dynamical systems, and we construct in this framework examples of dynamical systems which are both weakly mixing in the measure-theoretic sense and uniformly rigid.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T15:33:48Z