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More on embedding subspaces of L p into ℓ N p , 0 < p < 1

Part of the Lecture Notes in Mathematics book series (LNM,volume 1745)

Abstract

It is shown that n-dimensional subspace of L p , 0 < p < 1, (1 + ε) - embeds in l N p , whenever N ≥ c(ε, p)n(logn)(log log n)2.

Keywords

  • Probability Measure
  • Main Claim
  • Israel Science Foundation
  • Entropy Estimate
  • Standard Gaussian Random Variable

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Supported by the Israel Science Foundation.

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© 2000 Springer-Verlag

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Zvavitch, A. (2000). More on embedding subspaces of L p into ℓ N p , 0 < p < 1. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107221

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  • DOI: https://doi.org/10.1007/BFb0107221

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41070-6

  • Online ISBN: 978-3-540-45392-5

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