Geometry of integral polynomials, $M$-ideals and unique norm preserving extensions

Verónica Dimant, Daniel Galicer, Ricardo García

We use the Aron-Berner extension to prove that the set of extreme points of the unit ball of the space of integral polynomials over a real Banach space $X$ is $\{\pm ϕ^k: ϕ\in X^*,…