Skip to main content

On certain convex subsets of c 0

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

Keywords

  • Banach Space
  • Convex Subset
  • Compact Convex Subset
  • Strong Regularity
  • Inductive Construction

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. Bourgain. La propriété de Radon-Nikodým, Publications de l'Université Pierre et Marie Curie, 36 (1974).

    Google Scholar 

  2. J. Bourgain and H. Rosenthal. Geometrical implications of certain finite-dimensional decompositions, Bull. Soc. Math. Belg., 32 (1980), 57–82.

    MATH  MathSciNet  Google Scholar 

  3. J. Elton. Sign-embeddings of θ n1 , Trans. Amer. Math. Soc., 279 (1983), 113–124.

    MATH  MathSciNet  Google Scholar 

  4. N. Ghoussoub and B. Maurey. G δ-Embeddings in Hilbert Space, J. Funct. Anal., 61 (1985), 72–97.

    CrossRef  MATH  MathSciNet  Google Scholar 

  5. N. Ghoussoub and B. Maurey. G δ-Embeddings in Hilbert Space II, J. Funct. Anal., (to appear).

    Google Scholar 

  6. N. Ghoussoub, B. Maurey and W. Schachermayer. A counterexample to a problem on points of continuity in Banach spaces, Proc. Amer. Math. Soc., 99 (1987), 278–282.

    CrossRef  MathSciNet  Google Scholar 

  7. N. Ghoussoub, G. Godefroy, B. Maurey and W. Schachermayer. Some topological and geometrical structures in Banach spaces, Memoirs Amer. Math. Soc., (1987), (to appear).

    Google Scholar 

  8. N. Ghoussoub, B. Maurey and W. Schachermayer. Geometrical implications of certain infinitedimensional decompositions, (to appear).

    Google Scholar 

  9. A. Lazar and J. Lindenstrauss. Banach spaces whose duals are L 1 spaces and their representing matrices, Acta Math., 120 (1971), 165–193.

    CrossRef  MathSciNet  Google Scholar 

  10. J. Lindenstrauss, G. Olson and Y. Sternfeld. The Poulsen simplex, Ann. Inst. Fourier, Grenoble, 28 (1978), 91–114.

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. W. Lusky. On separable Lindenstrauss spaces, J. Funct. Anal., 26 (1977), 103–120.

    CrossRef  MATH  MathSciNet  Google Scholar 

  12. E. Michael and A. Pelczyński. Separable Banach spaces which admit l n approximations, Israel J. Math., 4 (1966), 189–198.

    CrossRef  MATH  MathSciNet  Google Scholar 

  13. E.T. Poulsen. A simplex with dense extreme points, Ann. Inst. Fourier, Grenoble, 11 (1961), 83–87.

    CrossRef  MATH  MathSciNet  Google Scholar 

  14. H. Rosenthal. Point-wise compact subsets of the first Baire class, Amer. J. Math., 99 (1977), 362–378.

    CrossRef  MATH  MathSciNet  Google Scholar 

  15. H. Rosenthal. A characterization of Banach spaces containing θ 1, Proc. Nat. Acad. Sci. USA, 71 (1974), 2411–2413.

    CrossRef  MATH  Google Scholar 

  16. H. Rosenthal. On the structure of non-dentable closed bounded convex sets, Advances in Math., (to appear).

    Google Scholar 

  17. H. Rosenthal. On the Choquet representation theorem, Longhorn Notes, this issue, 1–32.

    Google Scholar 

  18. W. Schachermayer. An example concerning strong regularity and points of continuity in Banach spaces, Longhorn Notes, this issue, 64–79.

    Google Scholar 

  19. C. Schumacher. JH* has the C*PCP, Longhorn Notes, this issue, 150–155.

    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

Argyros, S., Odell, E., Rosenthal, H. (1988). On certain convex subsets of c 0 . In: Odell, E.W., Rosenthal, H.P. (eds) Functional Analysis. Lecture Notes in Mathematics, vol 1332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081613

Download citation

  • DOI: https://doi.org/10.1007/BFb0081613

  • 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