Étienne Matheron

collaborators

2 papers

math.FA2022

Generic properties of l_p-contractions and similar operator topologies

Sophie Grivaux, Etienne Matheron, Quentin Menet

If $X$ is a separable reflexive Banach space, there are several natural Polish topologies on $B (X)$ , the set of contraction operators on $X$ (none of which being clearly…

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…

Generic properties of l_p-contractions and similar operator topologies

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

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