Common hypercyclic entire functions for multiples of differential operators

• Autorzy: George Costakis , Panagiotis Mavroudis
• Języki publikacji: EN

Abstrakty

EN

The purpose of the present note is to prove the existence of common hypercyclic entire functions for the family of differential operators {λp(D): λ ∈ ℂ ∖ {0}}$, where D is the differentiation operator acting on the space of entire functions and p a non-constant polynomial.

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 2
• Strony: 199-203

Daty

wydano

2008

Twórcy

autor

George Costakis

• Department of Mathematics, University of Crete, Knossos Avenue, GR-714 09 Heraklion, Crete, Greece

autor

Panagiotis Mavroudis

• Department of Mathematics, University of Crete, Knossos Avenue, GR-714 09 Heraklion, Crete, Greece

Identyfikatory

DOI

10.4064/cm111-2-3