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math.FA2023
Extending Families of Disjoint Hypercyclic Operators
Özgür Martin, Rebecca Sanders
In the present note, we solve two open questions posed by Salas in [H. Salas, The strong disjoint blow-up/collapse property, J. Funct. Spaces Appl., 2013, Article ID 146517, 6 page…
math.FA2021
Disjoint frequently hypercyclic pseudo-shifts
Özgür Martin, Quentin Menet, Yunied Puig
We obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on …
math.FA2021
Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing
Özgür Martin, Yunied Puig
In this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic opera…