Does a typical ${\ell }_p$-space contraction have a non-trivial invariant subspace?

Sophie Grivaux, Étienne Matheron, Quentin Menet

Given a Polish topology $\tau$ on ${\mathcal{B}}_1(X)$, the set of all contraction operators on $X={\ell }_p$, $1\le p<\infty$ or $X=c_0$, we prove several results related to the follo…