Quentin Menet

collaborators

3 papers

math.FA2025

Two remarks on the set of recurrent vectors

Antoni LÃ³pez-MartÃnez, 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…

math.FA2024

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…

math.FA2024

Dynamics of weighted shifts on $ℓ^{p}$ -sums and $c_{0}$ -sums

Quentin Menet, Dimitris Papathanasiou

We investigate a generalization of weighted shifts where each weight $w_{k}$ is replaced by an operator $T_{k}$ going from a Banach space $X_{k}$ to another one $X_{k - 1}$ . We then look i…

Two remarks on the set of recurrent vectors

Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity

Dynamics of weighted shifts on ℓp-sums and c0​-sums

Dynamics of weighted shifts on $ℓ^{p}$ -sums and $c_{0}$ -sums