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Random embeddings of Euclidean spaces in sequence spaces

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Publication:1159354
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DOI10.1007/BF02761909zbMath0474.46004MaRDI QIDQ1159354

Gideon Schechtman

Publication date: 1981

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


zbMATH Keywords

sequence spacesrandom embeddings


Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Random matrices (algebraic aspects) (15B52)


Related Items

Embeddings of \(l^ m_ p\) into \(l^ n_{\infty}\), 1\(\leq p\leq 2\), Special orthogonal splittings of \(L_1^{2k}\), Polynomial bounds for large Bernoulli sections of \(\ell_1^N\), Concentration property on probability spaces., The chromatic number of random graphs, Logarithmic reduction of the level of randomness in some probabilistic geometric constructions, Embedding \(l_ p^ m\) into \(l_ 1^ n\)



Cites Work

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  • Factoring absolutely convergent series
  • Norms of random matrices
  • On uncomplemented subspaces of \(L_p\), \(1<p<2\)
  • The dimension of almost spherical sections of convex bodies
  • Symmetric structures in Banach spaces
  • On the best constants in the Khinchin inequality
  • Some applications of p-summing operators to Banach space theory
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