Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators

Abstract

We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators. Moreover, we give a sufficient condition to yield the disjoint supercyclicity for families of Taylor-type operators.

Keywords

• disjoint supercyclic
• class
• compact set
• taylor-type
• operator
• 47a16
• 47b38
• 30h99
• 46e20