Frequently hypercyclic translation semigroups
Volume 227 / 2015
Studia Mathematica 227 (2015), 219-238
MSC: Primary 47A16; Secondary 47D06.
DOI: 10.4064/sm227-3-2
Abstract
Frequent hypercyclicity for translation $C_0$-semigroups on weighted spaces of continuous functions is studied. The results are achieved by establishing an analogy between frequent hypercyclicity for translation semigroups and for weighted pseudo-shifts and by characterizing frequently hypercyclic weighted pseudo-shifts on spaces of vanishing sequences. Frequently hypercyclic translation semigroups on weighted $L^p$-spaces are also characterized.
