Surjective separating maps on noncommutative $L^p$-spaces

Christian Le Merdy, Safoura Zadeh

Let $1\le p<\infty$ and let $T:L^p(\mathcal{M})\to L^p(\mathcal{N})$ be a bounded map between noncommutative $L^p$-spaces. If $T$ is bijective and separating (i.e., for an…