${\ell }^1$-contractive maps on noncommutative $L^p$-spaces

Christian Le Merdy, Safoura Zadeh

Let $T:L^p(\mathcal{M})\to L^p(\mathcal{N})$ be a bounded operator between two noncommutative $L^p$-spaces, $1\le p<\infty$. We say that $T$ is ${\ell }^1$-bounded (resp. $\e…