Extremal structure of projective tensor products

Luis C. García-Lirola, Guillaume Grelier, Gonzalo Martínez-Cervantes +1

We prove that, given two Banach spaces $X$ and $Y$ and bounded, closed convex sets $C\subseteq X$ and $D\subseteq Y$, if a nonzero element $z\in \overline{\mathrm{co}}(C\otimes D)\…