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Common upper frequent hypercyclicity

Volume 250 / 2020

Monia Mestiri Studia Mathematica 250 (2020), 1-18 MSC: Primary 47A16. DOI: 10.4064/sm180410-10-9 Published online: 5 July 2019

Abstract

Considering a family of upper frequently hypercyclic operators we study the existence of vectors which are upper frequently hypercyclic for any operator of this family. We establish sufficient conditions for an uncountable family of operators to admit such 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.

Authors

  • Monia MestiriDépartement de Mathématique
    Institut Complexys
    Université de Mons
    20 Place du Parc
    7000 Mons, Belgium
    e-mail

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