Frequently hypercyclic semigroups

• Autorzy: Elisabetta M. Mangino , Alfredo Peris
• Języki publikacji: EN

Abstrakty

EN

We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral. This criterion can be verified in certain cases in terms of the infinitesimal generator of the semigroup. Applications are given for semigroups generated by Ornstein-Uhlenbeck operators, and especially for translation semigroups on weighted spaces of p-integrable functions, or continuous functions that, multiplied by the weight, vanish at infinity.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 202
• Numer: 3
• Strony: 227-242

Daty

wydano

2011

Twórcy

autor

Elisabetta M. Mangino

• Dipartimento di Matematica "Ennio De Giorgi", Università del Salento, I-73100 Lecce, Italy

autor

Alfredo Peris

• IUMPA, Universitat Politècnica de València, Departament de Matemàtica Aplicada, Edifici 7A, E-46022 Valéncia, Spain

Identyfikatory

DOI

10.4064/sm202-3-2