The symmetric-cone characterization of ellipsoids
Let B1(n)B_1(n)B1(n) denote the unit ball in Rn\mathbb{R}^nRn, and let Sn−1\mathbb{S}^{n-1}Sn−1 denote the unit sphere. For a convex body KotiSn−1K ot i \mathbb{S}^{n-1}KotiSn−1 contained in B1(n)B1(n)B1(n), and each…