New volume ratio properties for convex symmetric bodies in ${\mathbb{R}}^ n$

DOI10.1007/BF01388911zbMath0617.52006MaRDI QIDQ1822058

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143456

zbMATH Keywords

harmonic analysis Banach-Mazur distance successive minima John ellipsoid mixed volumes Rademacher projection polar bodies convex symmetric bodies cotype-2 spaces

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Lattices and convex bodies (number-theoretic aspects) (11H06) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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Cites Work

New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)