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math.FA2020
Dynamics of weighted shifts on directed trees
Karl-G. Grosse-Erdmann, Dimitris Papathanasiou
We study the dynamical behaviour of weighted shifts defined on sequence spaces of a directed tree. In particular, we characterize their boundedness as well as when they are hypercy…
math.FA2019
Chaos and frequent hypercyclicity for weighted shifts
Stéphane Charpentier, Karl Grosse-Erdmann, Quentin Menet
Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on is chaotic. This contrasts with an earli…
math.FA2017
Frequently hypercyclic bilateral shifts
Karl-G. Grosse-Erdmann
It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on is again frequently hypercyclic. We show that the corresponding problem for…