On Dvoretzky's theorem on almost spherical sections of convex bodies

DOI10.1007/BF02756881zbMath0288.52002OpenAlexW2082576948MaRDI QIDQ1846656

Andrzej Szankowski

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02756881

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (11)

Unnamed Item ⋮ Irreducible domains in Banach spaces ⋮ On a conjecture of Kömlos about signed sums of vectors inside the sphere ⋮ On Dvoretzky's theorem for subspaces of \(L_p\) ⋮ A note on norms of signed sums of vectors ⋮ Variance estimates and almost Euclidean structure ⋮ Book Review: Asymptotic geometric analysis, Part I ⋮ Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs ⋮ The dimension of almost spherical sections of convex bodies ⋮ On a problem of Lions concerning real interpolation spaces. The quasi-Banach case ⋮ The dimension of Euclidean subspaces of quasi-normed spaces

Cites Work

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• Uniformly non-square Banach spaces
• Contributions to the theory of the classical Banach spaces
• New proof of the theorem of A. Dvoretzky on intersections of convex bodies
• Classical Banach spaces
• Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies
• On Banach spaces with unconditional bases

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