2018/04/09 by Mestiri, Monia
#47A16 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1804.02951
Considering a family of upper frequently hypercyclic operators we care about the existence of vectors which are upper frequently hypercyclic for any operator of this family. We establish sufficient conditions for a family of operators to have these vectors called common upper frequently hypercyclic vectors. Using this result, we then give a construction of such vectors. Finally we derive some applications to families of weighted shifts.