Skip to main content

Normed spaces with a weak-Gordon-Lewis property

Part of the Lecture Notes in Mathematics book series (LNM,volume 1470)

Keywords

  • Banach Space
  • Unit Ball
  • Normed Space
  • Convex Body
  • Absolute Constant

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54206-3

  • Online ISBN: 978-3-540-47493-7

  • eBook Packages: Springer Book Archive