68 citations · 246 across the 19 of their papers we have counts for
24 papers
Hypercyclicity and Lipschitz-free operators
Christian Cobollo, Romuald Ernst, Quentin Menet +1
We study linearizations of dynamical systems and some of its topological properties. Special attention is paid to the case of Lipschitz-free operators, and they are shown to model…
Generic properties of l_p-contractions and similar operator topologies
Sophie Grivaux, Etienne Matheron, Quentin Menet
If is a separable reflexive Banach space, there are several natural Polish topologies on , the set of contraction operators on (none of which being clearly…
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 …
Common hypercyclic vectors and dimension of the parameter set
Frédéric Bayart, Fernando Costa, Quentin Menet
We investigate the existence of a common hypercyclic vector for a family of hypercyclicoperators acting on the same Banach space . We give positive and negative…
Does a typical -space contraction have a non-trivial invariant subspace?
Sophie Grivaux, Étienne Matheron, Quentin Menet
Given a Polish topology on , the set of all contraction operators on , or , we prove several results related to the follo…
Invariant subspaces for Fréchet spaces without continuous norm
Quentin Menet
Let be a Fréchet space with a Schauder basis and without continuous norm, where is an increasing sequence of seminorms inducing the topology of . We show tha…