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Normed spaces with a weak-Gordon-Lewis property

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Functional Analysis

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References

  1. K.M. Ball, Volumes of sections of cubes and related problems, Israel Geometric Aspects of Functional Analysis, Springer-Verlag LNM 1376 (1989), 251–260.

    Google Scholar 

  2. P. Billard, S. Kwapień, A. Pełczyński and Ch. Samuel, Biorthogonal systems of random unconditional convergence in Banach spaces, Longhorn Notes 1985–86, The University of Texas at Austin.

    Google Scholar 

  3. J. Bourgain, J. Lindenstrauss and V.D. Milman, Approximation of zonoids by zonotopes, Acta Math., 162 (1989), 73–141.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Bourgain and V.D. Milman, New volume ratio properties for convex symmetric bodies in Rn, Inventiones Math. 88 (1987), 319–340.

    Article  MathSciNet  MATH  Google Scholar 

  5. T. Figiel and W.B. Johnson, Large subspaces of l n∞ and estimates of the Gordon-Lewis constants, Israel J. Math. 37 (1980), 92–112.

    Article  MathSciNet  MATH  Google Scholar 

  6. Y. Gordon and D. Lewis, Absolutely summing operators and local unconditional structures, Acta Math. 133 (1974), 27–48.

    Article  MathSciNet  MATH  Google Scholar 

  7. Y. Gordon, M. Meyer and S. Reisner, Zonoids with minimal volume product — a new proof, Proc. Amer. Math. Soc., 104 (1988), 273–276.

    MathSciNet  MATH  Google Scholar 

  8. D. Hensley, Slicing convex bodies — bounds for slice area in terms of the bodies’ convariances, Proc. Amer. Math. Soc. 79 (1980), 619–625.

    MathSciNet  MATH  Google Scholar 

  9. D.R. Lewis, Ellipsoids defined by Banach ideal norms, Mathematika 26 (1979), 18–29.

    Article  MathSciNet  MATH  Google Scholar 

  10. V.D. Milman and G. Pisier, Banach spaces with a weak cotype-2 property, Israel J. Math. 54 (1986), 139–158.

    Article  MathSciNet  MATH  Google Scholar 

  11. A. Pełczyński and C. Schütt, Factoring the natural injection i (n): L ∞ n → L 1 n through finite-dimensional Banach spaces and geometry of finite-dimensional unitary ideals, Advances in Math. Supplementary Studies. (Volume in honor of L. Schwartz) 7B (1981), 653–683.

    Google Scholar 

  12. A. Pietsch, Absolute p-summierende Abbildugen in normierten Raümen, Studia Math. 28 (1967), 333–353.

    MathSciNet  MATH  Google Scholar 

  13. G. Pisier, Factorization of linear operators and geometry of Banach spaces, C.B.M.S. Regional Conf. Series in Math. 60 (1986).

    Google Scholar 

  14. G. Pisier, Weak Hilbert spaces, Proc. London Math. Soc. (1988).

    Google Scholar 

  15. S. Reisner, Zonoids with minimal volume product, Math. Z. 192 (1986), 339–346.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Saint-Raymond, Sur le volume des corps convexes symétriques, Sem. d’Initiation à L’Analyse (1980–81), 11, Université P. et M. Curie, Paris.

    Google Scholar 

  17. J.D. Vaaler, A geometric inequality with applications to linear forms, Pacific J. Math. 83 (1979), 543–553.

    Article  MathSciNet  MATH  Google Scholar 

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Edward E. Odwell Jr. Haskell P. Rosenthal

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© 1991 Springer-Verlag

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Ball, K. (1991). Normed spaces with a weak-Gordon-Lewis property. In: Odwell, E.E., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1470. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090210

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  • DOI: https://doi.org/10.1007/BFb0090210

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54206-3

  • Online ISBN: 978-3-540-47493-7

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