Regular random sections of convex bodies and the random quotient-of-subspace theorem

DOI10.1016/j.jfa.2021.109133zbMath1476.46017arXiv1910.06033OpenAlexW3170483477MaRDI QIDQ2039846

Emanuel Milman, Yuval Yifrach

Publication date: 5 July 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06033

zbMATH Keywords

Pisier's regular \(M\)-positionquotient-of-subspace theoremrandom Gelfand numbers

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Asymptotic theory of convex bodies (52A23)

Cites Work

• Asymptotic formulas for the diameter of sections of symmetric convex bodies
• Projections onto Hilbertian subspaces of Banach spaces
• Holomorphic semi-groups and the geometry of Banach spaces
• Dichotomies, structure, and concentration in normed spaces
• Duality of metric entropy
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Diameters of sections and coverings of convex bodies
• A remark on two duality relations
• Isoperimetry of waists and local versus global asymptotic convex geometries
• A new approach to several results of V. Milman.
• Almost Euclidean Quotient Spaces of Subspaces of a Finite-Dimensional Normed Space
• Subspaces of Small Codimension of Finite-Dimensional Banach Spaces
• Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert
• Asymptotic Geometric Analysis, Part I
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