2 problems

Let $X$ be an infinite-dimensional Banach space with the bounded approximation property. For a Banach space $X$, write $q(X)=\inf\{q:X\text{ is of cotype }q\}$. Pisier's K-convexit…

K-convexity heat-decay conjecture. Every $K$-convex Banach space satisfies this condition for every $k\in\mathbb N$, $p\in(1,\infty)$, and $t\in(0,\infty)$. The preceding theorem p…