Very tight embeddings of subspaces of \(L_p\), \(1 \leq p < 2\), into \(\ell^n_p\)

DOI10.1007/s00039-003-0432-9zbMath1036.46008OpenAlexW1996432338MaRDI QIDQ1413656

William B. Johnson, Gideon Schechtman

Publication date: 17 November 2003

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

Full work available at URL: https://doi.org/10.1007/s00039-003-0432-9

zbMATH Keywords

Banach-Mazur distancelow-distortion embedding

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Special maps on metric spaces (54E40) Embedding (54C25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

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Diameters of sections and coverings of convex bodies ⋮ Special orthogonal splittings of \(L_1^{2k}\) ⋮ Sparsity and non-Euclidean embeddings ⋮ Estimating averages of order statistics of bivariate functions ⋮ Random embedding of \({\ell_p^n}\) into \({\ell_r^N}\) ⋮ Polynomial bounds for large Bernoulli sections of \(\ell_1^N\) ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II ⋮ Quotients of Essentially Euclidean Spaces

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