A quantitative finite-dimensional Krivine theorem

DOI10.1007/BF02761116zbMath0612.46021OpenAlexW2052982869MaRDI QIDQ1088114

Dan Amir, Vitali D. Milman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02761116

zbMATH Keywords

almost \(\ell _ p\) subspacesfinitely representedlength of almost-symmetric sequencesMeasure concentration argumentsnormal Levy family

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25)

Related Items (5)

Symmetric block bases of sequences with large average growth ⋮ On embeddings of finite subsets of ℓ_{𝑝} ⋮ Symmetric block bases in finite-dimensional normed spaces ⋮ Unnamed Item ⋮ \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators

Cites Work

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• Embedding of \(\ell^ k_{\infty}\) in finite dimensional Banach spaces
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Unconditional and symmetric sets in \(n\)-dimensional normed spaces
• Sous-espaces de dimension finie des espaces de Banach reticules
• The dimension of almost spherical sections of convex bodies
• A Topological Application of the Isoperimetric Inequality
• Finite dimensional subspaces of $L_{p}$
• On the Dimension of the l n p -Subspaces of Banach Spaces, for 1 p < 2

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