The Rademacher cotype of operators from $l_{\infty }^N$

Stephen J. Montgomery-Smith, Michel Talagrand

We show that for any operator $T:l_{\infty }^N\to Y$, where $Y$ is a Banach space, that its cotype 2 constant, $K_2(T)$, is related to its $(2,1)$-summing norm, ${\pi }_{2,1}(T)$, by $K_2(…