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The only convex body with extremal distance from the ball is the simplex

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Publication:1802792
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DOI10.1007/BF02808075zbMath0774.52003MaRDI QIDQ1802792

O. Palmon

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Banach-Mazur distanceJohn's theoremsimplex


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items (9)

Stability result for the extremal Gr\"unbaum distance between convex bodies ⋮ On the complexity of some basic problems in computational convexity. I. Containment problems ⋮ John's ellipsoid and the integral ratio of a log-concave function ⋮ EXTREMAL BANACH–MAZUR DISTANCE BETWEEN A SYMMETRIC CONVEX BODY AND AN ARBITRARY CONVEX BODY ON THE PLANE ⋮ On the extremal distance between two convex bodies ⋮ Minimal and maximal matrix convex sets ⋮ A stability result for a volume ratio ⋮ Approximation of convex sets by polytopes ⋮ Unconventional features of positive-breakdown estimators



Cites Work

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  • Minkowski spaces with extremal distance from the Euclidean space


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