Strengthened stability inequalities for mean width and ℓ-norm of convex bodies with fixed John or Löwner ellipsoids, and for convex hulls of centered isotropic measures on the sphere.
Litvak: Around the simplex mean width conjecture
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Strengthened inequalities for the mean width and the $\ell$-norm
Strengthened stability inequalities for mean width and ℓ-norm of convex bodies with fixed John or Löwner ellipsoids, and for convex hulls of centered isotropic measures on the sphere.