Non-existence of common hypercyclic entire functions for certain families of translation operators

Abstract

We show that families of translation operators, where the translates grow exponentially fast, do not admit common hypercyclic functions. The result is close to be optimal.

References in corpus (3)

• Common hypercyclic vectors for composition operators
• Existence of common hypercyclic vectors for translation operators
• Common hypercyclic functions for translation operators with large gaps II

Cited by in corpus (1)

• Common hypercyclic functions for translation operators with large gaps II