2 problems

Let $K$ be a centrally symmetric convex body in $cmathbb{R}^{n}$, and let $\mathcal{P}(K)$ denote its volume product. Let $B_{\infty}^{n}$ be the unit ball of the $\ell_{\infty}$ n…

Let $B\in\mathcal{K}^2_o$ be an $o$-symmetric convex body in $\mathbb{R}^2$, let $Q_6(B)$ denote the associated six-vertex convex polygon, and let $B^{\circ}$ be the polar body of…