Bulletin de la Société Royale des Sciences de Liège

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Alfredo Peris

Hypercyclicity criteria and the Mittag-Leffler theorem

(Volume 70 - Année 2001 — Numéro 4 - 5 - 6)
Article
Open Access
Mots-clés : hypercyclic vector

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.

To cite this 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 : http://popups.ulg.be/0037-9565/index.php?id=1908.

About: Alfredo Peris

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