Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 70 - Année 2001  Numéro 4 - 5 - 6 

Hypercyclicity criteria and the Mittag-Leffler theorem

Alfredo Peris, 

E.TS Arquitectura, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46022 Valencia, SPAIN, aperis@mat.upv.es

Abstract

We show that different hypercyclicity criteria are equivalent by using the abstract version of Mittag-Leffler theorem. We also reduce to the context of invertible operators an open problem of Herrero which asks about the hypercyclicity of the direct sum of a hypercyclic operator with itself.

1Mathematics Subject Classification: 46A04, 47A16.

Pour citer cet article

Alfredo Peris, «Hypercyclicity criteria and the Mittag-Leffler theorem», Bulletin de la Société Royale des Sciences de Liège [En ligne], Numéro 4 - 5 - 6, Volume 70 - Année 2001, 365 – 371 URL : https://popups.uliege.be/0037-9565/index.php?id=1908.