2 problems

Let $X$ be a $K$-convex Banach space. The property $\mathrm{GL}_2$ is the Gordon–Lewis property with exponent $2$, and a Banach lattice has finite cotype in the usual Banach-space…

Let $X$ be a Banach space and let $1\le q<\infty$. The property $S\mathrm{GL}(1,q)$ is the hypothesis that $X$ has in the statement below. SGL embedding conjecture. If $X$ has…