Baire theorem and hypercyclic algebras
Résumé
The question of whether a hypercyclic operator $T$ acting on a Fréchet algebra $X$ admits or not an algebra of hypercyclic vectors (but 0) have been explored in the recent literature.
Analogous questions arise for stronger properties like frequent hypercyclicity, common hypercyclicity and disjoint hypercyclicity.
In this paper we run over several different topics on this trend.
Domaines
Analyse fonctionnelle [math.FA]
Origine : Fichiers produits par l'(les) auteur(s)