Dvoretzky's theorem -- thirty years later

DOI10.1007/BF01896663zbMath0787.46016OpenAlexW2043769496MaRDI QIDQ2366291

Vitali D. Milman

Publication date: 29 June 1993

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58111

zbMATH Keywords

ellipsoidsGrassmann manifoldcentrally symmetric compact bodiesdistortion of normed spacesdual bodiesDvoretzky's Theoremessential part of volume computationspectrum of uniformly continuous functionssymmetric compact bodiesuniformly continuous functions on the sphere of a Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Development of contemporary mathematics (01A65) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items

The Slicing Problem by Bourgain, Power-law estimates for the central limit theorem for convex sets, A counterexample to a strengthening of a question of V. D. Milman, A central limit theorem for convex sets, Dvoretzky type theorems for multivariate polynomials and sections of convex bodies, Lipschitz functions on the infinite-dimensional torus, Minimal stable types in Banach spaces

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