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Geometric Aspects of Functional Analysis pp 269–280Cite as

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

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Part of the book series: Lecture Notes in Mathematics ((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.

Supported by the Israel Science Foundation.

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References

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    A. Zvavitch

Authors
  1. A. Zvavitch
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Vitali D. Milman Gideon Schechtman

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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

  • eBook Packages: Springer Book Archive

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