Contact points of convex bodies

DOI10.1007/BF02760924zbMath0896.52008MaRDI QIDQ1380499

M. V. Rudel'son

Publication date: 21 September 1998

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

zbMATH Keywords

Banach-Mazur distancecontact points

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Probabilistic methods in Banach space theory (46B09) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Sampling discretization and related problems, On the vertex index of convex bodies, \(L_{p}\)-moments of random vectors via majorizing measures, BRASCAMP–LIEB INEQUALITY AND QUANTITATIVE VERSIONS OF HELLY'S THEOREM, Approximating Nonnegative Polynomials via Spectral Sparsification, John's decompositions: Selecting a large part, Symmetry of convex sets and its applications to the extremal ellipsoids of convex bodies, Almost orthogonal submatrices of an orthogonal matrix, Random vectors in the isotropic position, Approximation of the average of some random matrices

Cites Work

• The finite dimensional basis problem with an appendix on nets of Grassmann manifolds
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• Minimal ellipsoids and their duals
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• Constructions of majorizing measures, Bernoulli processes and cotype
• Volume Ratios and a Reverse Isoperimetric Inequality
• Subspaces of Small Codimension of Finite-Dimensional Banach Spaces
• On the length of faithful nuclear representations of finite rank operators
• Spaces with Large Distance to ℓ n ∞ and Random Matrices
• A proportional Dvoretzky-Rogers factorization result
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