Common hypercyclic functions for translation operators with large gaps II

Abstract

We prove the existence of common hypercyclic entire functions for uncountable families of translation type operators. Contrary to our previous work [34], here the parameter which reflects the uncountable family lies on the unit circle. On the other hand the sequence of translations is in a sense less restrictive if it is to be compared with the corresponding sequence in [34]. Our result largely extends a result of Costakis in [19].

References in corpus (3)

• Common hypercyclic vectors for composition operators
• Existence of common hypercyclic vectors for translation operators
• Non-existence of common hypercyclic entire functions for certain families of translation operators

Cited by in corpus (2)

• Common hypercyclic vectors for high dimensional families of operators
• Non-existence of common hypercyclic entire functions for certain families of translation operators