Very tight embeddings of subspaces of Lp, 1 ≤ p < 2, into lpn
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We prove that for 1 ≤ p < r < 2, every n-dimensional subspace E of Lr, in particular lrn, well-embeds into lpm for some m ≤ (1 + ε) n, where "well" depends on p, r, and the arbitrary ε > 0, but not on n.
author list (cited authors)
Johnson, W. B., & Schechtman, G.
complete list of authors
Johnson, William B||Schechtman, Gideon