2 problems

Let $X$ be a Banach space with summable Szlenk index, and let $X^{*}$ denote its dual. Godefroy–Kalton conjecture. If $X^{*}$ is isomorphic to $\ell_{1}$, then $X$ is isomorphic to…

Let $X$ be a Banach space with summable Szlenk index, and suppose that its dual $X^{*}$ is isomorphic to $\ell_{1}$. Godefroy–Kalton–Lancien conjecture. Then $X$ is isomorphic to…