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Common upper frequent hypercyclicity (1804.02951v2)
Published 9 Apr 2018 in math.FA and math.DS
Abstract: 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.