The polarization constant of finite dimensional complex spaces is one

Verónica Dimant, Daniel Galicer, Jorge Tomás Rodríguez

The polarization constant of a Banach space $X$ is defined as $$\mathbf{c}(X):=\underset{k\to \infty }{\mathrm{limsup}}\mathbf{c}(k,X{)}^{\frac{1}{k}},$$ where $\mathbf{c}(k,X)$ stands fo…