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Embedding Subspaces of Lp in pN

  • Michel Talagrand
Part of the Operator Theory Advances and Applications book series (OT, volume 77)

Abstract

We show that a n-dimensional subspace of L p embeds in p N for N = n log n(loglog n)2 when 1 < p < 2.

Keywords

Unit Ball Random Choice Entropy Estimate Independent Normal Random Variable Delicate Statement 
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References

  1. [B-L-M]
    J. Bourgain, J. Lindenstrauss, V. Milman, Approximation of zonoids by zonotopes, Acta. Math, 162 (1989), 73–141.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [L-T]
    M. Ledoux, M. Talagrand, Probability in a Banach space, Springer-Verlag, 1991.Google Scholar
  3. [T1]
    M. Talagrand, Embedding subspaces of L 1 into 1N, Proc. Amer. Math. Soc. 108 (1990), 363–369.MathSciNetzbMATHGoogle Scholar
  4. [T2]
    M. Talagrand Construction of majorizing measures, Bernoulli processesGoogle Scholar
  5. and cotype Geometric And Functional Analysis, to appear.Google Scholar
  6. [TJ]
    N. Tomczak-Jaegermann, Dualité des nombres d’entropie pour des opérateurs à valeurs dans un espace de Hilbert, C. R. Acad. Sci. Paris 305 (1987), 299–301.MathSciNetzbMATHGoogle Scholar

Copyright information

© Birkhäuser Verlag Basel/Switzerland 1995

Authors and Affiliations

  • Michel Talagrand
    • 1
    • 2
  1. 1.Equipe d Analyse-Tour 56 E.R.A. au C.N.R.S. no. 754Université Paris VIParis Cedex 05France
  2. 2.Department of MathematicsThe Ohio State UniversityColumbusUSA

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