Skip to main content

Extraction of almost symmetric subsequences in r.i. spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1332)

Keywords

  • Banach Lattice
  • Spreading Model
  • Null Sequence
  • Monotone Convergence Theorem
  • Symmetric Sequence

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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. J. Bastero, Y. Raynaud. Quotients and interpolate spaces of stable Banach spaces, preprint.

    Google Scholar 

  2. J. Bergh, J. Löfström. “Interpolation Spaces, an Introduction”, Springer-Verlag, 1976.

    Google Scholar 

  3. I. Berkès, H.P. Rosenthal. Almost exchangeable sequences of random variables, Z. Warscheinlichkeit. verw. Gebiete, 70 (1985), 473–507.

    CrossRef  MATH  Google Scholar 

  4. N.L. Carothers, S.J. Dilworth. Equidistributed random variables in L p,q , preprint.

    Google Scholar 

  5. D. Dacunha-Castelle. Variables aléatoires échangeables et espaces d'Orlicz, Seminaire Maurey-Schwartz 1974–75, Ecole Polytechnique, Paris.

    Google Scholar 

  6. D. Dacunha-Castelle, J.L. Krivine. Application des ultraproduits à l'étude des espaces et algèbres de Banach, Studia Math, 41 (1972), 315–334.

    MATH  MathSciNet  Google Scholar 

  7. W. Feller. “An Introduction to Probability Theory and its Applications”, Vol.II, Wiley, 1966.

    Google Scholar 

  8. S. Guerre. Types et suites symétriques dans L p , 1 ≤ p<∞, Israel J. Math, 53 (2) (1986).

    Google Scholar 

  9. D.J.H. Garling. Stable Banach spaces, random measures and Orlicz function spaces, in “Probability Measures on Groups”, Lect. Notes in Math no.928, Springer, 1982.

    Google Scholar 

  10. S. Guerre, Y. Raynaud. On sequences with no almost symmetric subsequence, University of Texas Functional Analysis Seminar, 1985–86, 83–93.

    Google Scholar 

  11. W. Johnson, B. Maurey, G. Schechtman, L. Tzafriri. Symmetric structures in Banach spaces, AMS Memoirs, 19 (217) (1979).

    Google Scholar 

  12. J.L. Krivine, B. Maurey. Espaces de Banach stables, Israel J. Math, 39 (4) (1981), 273–295.

    CrossRef  MATH  MathSciNet  Google Scholar 

  13. J. Lindenstrauss, L. Tzafriri. “Classical Banach Spaces; I, Sequence Spaces”, Springer-Verlag, 1977.

    Google Scholar 

  14. J. Lindenstrauss, L. Tzafriri. “Classical Banach Spaces; II, Function Spaces”, Springer-Verlag, 1979.

    Google Scholar 

  15. Y. Raynaud. Deux nouveaux examples d'espaces de Banach stables, C.R. Acad. Sc. Paris, 292 Série I, (1981), 715–717.

    MATH  MathSciNet  Google Scholar 

  16. Y. Raynaud. Extracting almost symmetric sequences in rearrangement invariant spaces, preprint.

    Google Scholar 

  17. I. Berkès. On almost symmetric sequences in L p , University of Texas Functional Analysis Seminar, 1985–86, 63–74.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Raynaud, Y. (1988). Extraction of almost symmetric subsequences in r.i. spaces. In: Odell, E.W., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081609

Download citation

  • DOI: https://doi.org/10.1007/BFb0081609

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50018-6

  • Online ISBN: 978-3-540-45892-0

  • eBook Packages: Springer Book Archive