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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.DS2019
Algebras of frequently hypercyclic vectors
Javier Falcó, Karl-G. Grosse-Erdmann
We show that the multiples of the backward shift operator on the spaces , , or , when endowed with coordinatewise multiplication, do not possess fr…