Q. Menet

activity

20122026

most citedRecurrence properties of hypercyclic operators

68 citations · 246 across the 19 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.FA2020

Does a typical $ℓ_{p}$ -space contraction have a non-trivial invariant subspace?

Sophie Grivaux, Étienne Matheron, Quentin Menet

Given a Polish topology $τ$ on $B_{1} (X)$ , the set of all contraction operators on $X = ℓ_{p}$ , $1 \leq p < \infty$ or $X = c_{0}$ , we prove several results related to the follo…

math.FA2020

Invariant subspaces for Fréchet spaces without continuous norm

Quentin Menet

Let $(X, (p_{j}))$ be a Fréchet space with a Schauder basis and without continuous norm, where $(p_{j})$ is an increasing sequence of seminorms inducing the topology of $X$ . We show tha…

Does a typical ℓp​-space contraction have a non-trivial invariant subspace?

Invariant subspaces for Fréchet spaces without continuous norm

Does a typical $ℓ_{p}$ -space contraction have a non-trivial invariant subspace?