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math.FA2019
The polarization constant of finite dimensional complex spaces is one
Verónica Dimant, Daniel Galicer, Jorge Tomás Rodríguez
The polarization constant of a Banach space is defined as where stands fo…
math.MG2019
Asymptotic estimates for the largest volume ratio of a convex body
Daniel Galicer, Mariano Merzbacher, Damián Pinasco
The largest volume ratio of given convex body is defined as $$\mbox{lvr}(K):= \sup_{L \subset \mathbb{R}^n} \mbox{vr}(K,L),$$ where the runs over al…