Supercyclic sequences of differential operators

Abstract

Several necessary and sufficient conditions for a sequence of infinite order differential linear operators on spaces of holomorphic functions on a domain of the complex plane to be supercyclic or c-hypercyclic are given in this paper, so completing earlier work of the authors on hypercyclicity, which in turn extended Birkhoff-MacLane-Godefroy-Shapiro's theorems. A new, general eigenvalue criterium for supercyclicity is also provided.