9 citations · 9 across the 4 of their papers we have counts for
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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
F. Bayart, S. Grivaux, E. Matheron +1
We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well known concept of frequent hypercyclicity. This notion is useful for th…
Dynamics of weighted shifts on -sums and -sums
Quentin Menet, Dimitris Papathanasiou
We investigate a generalization of weighted shifts where each weight is replaced by an operator going from a Banach space to another one . We then look i…
Orthogonality of invariant measures for weighted shifts
Sophie Grivaux, Etienne Matheron, Quentin Menet
We introduce and study the notion of orthogonality for two operators in the context of weighted backward shifts on , . Two continuous linear o…
Two remarks on the set of recurrent vectors
Antoni López-Martínez, Quentin Menet
We solve in the negative two open problems, related to the linear and topological structure of the set of recurrent vectors, asked by Sophie Grivaux, Alfred Peris and the first aut…