$L_p$ John Ellipsoids

DOI10.1112/S0024611504014996zbMath1074.52005OpenAlexW2052322845MaRDI QIDQ4673053

Gaoyong Zhang, Deane Yang, Erwin Lutwak

Publication date: 29 April 2005

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611504014996

zbMATH Keywords

ellipsoids Banach-Mazur distance Banach space geometry mixed volumes John ellipsoids Lewis ellipsoids Petty ellipsoids

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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