Frequently hypercyclic translation semigroups

• Autorzy: Elisabetta M. Mangino , Marina Murillo-Arcila
• Języki publikacji: EN

Abstrakty

EN

Frequent hypercyclicity for translation C₀-semigroups on weighted spaces of continuous functions is studied. The results are achieved by establishing an analogy between frequent hypercyclicity for translation semigroups and for weighted pseudo-shifts and by characterizing frequently hypercyclic weighted pseudo-shifts on spaces of vanishing sequences. Frequently hypercyclic translation semigroups on weighted $L^{p}$-spaces are also characterized.

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: 2015
• Tom: 227
• Numer: 3
• Strony: 219-238

Daty

wydano

2015

Twórcy

autor

Elisabetta M. Mangino

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

autor

Marina Murillo-Arcila

• IUMPA, Universitat Politècnica de València, Edifici 8G, Camí Vera S/N, E-46022 València, Spain

Identyfikatory

DOI

10.4064/sm227-3-2