Euclidean Sections of Convex Bodies

DOI10.1007/978-1-4614-6406-8_12zbMath1284.46013arXiv1110.6401OpenAlexW208968180MaRDI QIDQ4928675

Gideon Schechtman

Publication date: 17 June 2013

Published in: Asymptotic Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6401

zbMATH Keywords

Dvoretzky's theoremEuclidean sectionsfine estimates

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (10)

Dichotomies, structure, and concentration in normed spaces ⋮ On Dvoretzky's theorem for subspaces of \(L_p\) ⋮ Superconcentration, and randomized Dvoretzky's theorem for spaces with 1-unconditional bases ⋮ A counterexample to a strengthening of a question of V. D. Milman ⋮ Polylog Dimensional Subspaces of $$\ell _\infty ^N$$ ⋮ Almost Euclidean sections in symmetric spaces and concentration of order statistics ⋮ Explicit Euclidean embeddings in permutation invariant normed spaces ⋮ The variance of the $\ell _p^n$-norm of the Gaussian vector, and Dvoretzky’s theorem ⋮ A simplified proof of CLT for convex bodies ⋮ Random Euclidean embeddings in finite-dimensional Lorentz spaces

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