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Embeddingl m p intol n1

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References

  1. Azuma, K., Weighted sums of certain dependent random variables.Tôhoku Math J., 19 (1967), 357–367.

    MATH  MathSciNet  Google Scholar 

  2. Bennett, G., Dor, L. E., Goodman, V., Johnson, W. B. &Newman, C. M., On uncomplemented subspaces ofL p , 1<p<2.Israel J. Math., 26 (1977), 178–187.

    Article  MathSciNet  MATH  Google Scholar 

  3. Bennett, G., Goodman, V. &Newman, C. M., Norms of random matrices.Pacific J. Math., 59 (1975), 359–365.

    MathSciNet  MATH  Google Scholar 

  4. Figiel, T., Lindenstrauss, J. &Milman, V., The dimension of almost spherical sections of convex sets.Acta Math., 139 (1977), 53–94.

    MathSciNet  MATH  Google Scholar 

  5. Kashin, B. S., Diameter of some finite dimensional sets and of some classes of smooth functions.Izv. Akad. Nauk SSSR, Ser Mat., 41 (1977), 334–351 (russian).

    MATH  MathSciNet  Google Scholar 

  6. Lindenstrauss, J. & Tzafriri, L.,Classical Banach Spaces, I:Sequence Spaces. Springer-Verlag, 1977.

  7. Loéve, M.,Probability Theory I. Springer-Verlag, 1977.

  8. Maurey, B.,Théorémes de factorisation pour les opérateurs linéaires á valeurs dans les espaces L p. Astérisque No. 11, Société Math. de France, 1974.

  9. —, Construction de suites symetriques.C. R. Acad. Sci. Paris, 228 (1979), 679–681.

    Google Scholar 

  10. Rosenthal, H. P., On subspaces ofL p.Ann. of Math., 97 (1973), 344–373.

    Article  MATH  MathSciNet  Google Scholar 

  11. Schechtman, G., Random embeddings of euclidean spaces in sequence spaces.Israel J. Math., 40 (1981), 187–192.

    MATH  MathSciNet  Google Scholar 

  12. Schechtman, G., Levy type inequality for a class of finite metric spaces.Proceedings of the NSF CBMS Conference on Martingale Theory in Harmonic Analysis and Banach Spaces 1981. To appear.

  13. Stout, W. F.,Almost Sure Convergence. Academic Press, 1974.

  14. Ibragimov, I. A. &Linnik, Yu. V.,Independent and stationary sequences of random variables. Wolters-Noordhoff Publishing, Groningen, 1971.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Ohio State University, Columbus, OH, USA

    William B. Johnson

  2. Texas A&M University, College Station, TX, USA

    William B. Johnson

  3. Weizmann Institute of Science, Rehovot, Israel

    Gideon Schechtman

Authors
  1. William B. Johnson
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  2. Gideon Schechtman
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Supported in part by NSF MCS-7903042.

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Johnson, W.B., Schechtman, G. Embeddingl m p intol n1 . Acta Math. 149, 71–85 (1982). https://doi.org/10.1007/BF02392350

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  • DOI: https://doi.org/10.1007/BF02392350

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