Skip to main content

De nouveaux espaces de Banach sans la propriété d'approximation [d'après A. Szankowski]

  • Conference paper
  • First Online:
Book cover Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 770))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. M.D. CHOI et E.G. EFFROS-Nuclear C*-algebras and the approximation property, Amer. J. Math. 100 (1978) 61–79.

    Article  MATH  MathSciNet  Google Scholar 

  2. D. DACUNHA-CASTELLE-Contre-exemple à la propriété d'approximation dans les espaces de Banach [d'après Enflo et Davie], Séminaire Bourbaki 72–73, exposé 433.

    Google Scholar 

  3. A.M. DAVIE-The approximation problem for Banach spaces, Bull. London Math. Soc. 5 (1973) 261–266.

    MATH  MathSciNet  Google Scholar 

  4. P. ENFLO-A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973) 309–317.

    Article  MATH  MathSciNet  Google Scholar 

  5. T. FIGIEL et W.B. JOHNSON-The approximation property does not imply the bounded approximation property, Proc. Amer. Math. Soc. 41 (1973) 197–200.

    Article  MATH  MathSciNet  Google Scholar 

  6. T. FIGIEL et A. PEŁCZYNSKI-On Enflo's method of construction of Banach spaces without the approximation property, Uspechi Math. Nauk SSSR 28, 6 (1973) 95–108.

    MATH  Google Scholar 

  7. A. GROTHENDIECK-Produits tensoriels topologiques et espaces nucléaires, Memoirs Amer. Math. Soc. No 16 (1955).

    Google Scholar 

  8. U. HAAGERUP-An example of a non-nuclear C*-algebra, which has the metric approximation property, Inventiones Math. 50 (1979) 279–293.

    Article  MATH  MathSciNet  Google Scholar 

  9. S. HEINRICH-Finite representability and super-ideals of operators, Dissertationes Math. (à paraître).

    Google Scholar 

  10. F. JOHN-Extremum problems with inequalities as subsidiary conditions, Courant Anniversary volume, p. 187–204, Interscience New York (1948).

    Google Scholar 

  11. E. KIRSHBERG-C*-nuclearity implies CPAP, Math. Nachr. 76 (1977) 203–212.

    MathSciNet  Google Scholar 

  12. S. KWAPIEN-On Enflo's example of a Banach space without the approximation property, Exposés 8–9, Séminaire Goulaouic-Schwartz 1972–73, Ecole Polytechnique, Paris.

    Google Scholar 

  13. J. LINDENSTRAUSS et L. TZAFRIRI-The uniform approximation property in Orlicz spaces, Israel J. Math. 23 (1976) 142–155.

    MATH  MathSciNet  Google Scholar 

  14. J. LINDENSTRAUSS et L. TZAFRIRI-Classical Banach spaces-I-Sequence spaces, Ergebnisse ... No 92, Springer-Verlag (1977).

    Google Scholar 

  15. J. LINDENSTRAUSS et L. TZAFRIRI-Idem-II-Function spaces (à paraître).

    Google Scholar 

  16. A. PEŁCZYNSKI et H.P. ROSENTHAL-Localization techniques in Lp-spaces, Studia Math. 52 (1975) 263–289.

    MATH  Google Scholar 

  17. J. STERN-Propriétés locales et ultrapuissances d'espaces de Banach, Exposés 7 et 8, Séminaire Maurey-Schwartz 1974–75, Ecole Polytechnique, Paris.

    Google Scholar 

  18. A. SZANKOWSKI-A Banach lattice without the approximation property, Israel J. Math. 24 (1976) 329–337.

    Article  MATH  MathSciNet  Google Scholar 

  19. A. SZANKOWSKI-Subspaces without the approximation property, Israel J. Math. 30 (1978) 123–129.

    MATH  MathSciNet  Google Scholar 

  20. A. SZANKOWSKI-The space of all bounded operators on Hilbert space does not have the approximation property, Séminaire d'Analyse Fonctionnelle 1978–79, Ecole Polytechnique, Palaiseau (exposé No 14–15).

    Google Scholar 

  21. A. SZANKOWSKI-Article en préparation.

    Google Scholar 

  22. M. TAKESAKI-On the cross-norm of the direct product of C*-algebras, Tohoku Math. J. 16 (1964) 111–122.

    MathSciNet  Google Scholar 

  23. S. WASSERMAN-On tensor products of certain group C*-algebras, J. Funct. Analysis 23 (1976) 239–254.

    Article  Google Scholar 

  24. C. LANCE-On nuclear C*-algebras, J. Funct. Analysis 12 (1973) 157–176.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1980 N. Bourbaki

About this paper

Cite this paper

Pisier, G. (1980). De nouveaux espaces de Banach sans la propriété d'approximation [d'après A. Szankowski]. In: Séminaire Bourbaki vol. 1978/79 Exposés 525 – 542. Lecture Notes in Mathematics, vol 770. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0096249

Download citation

  • DOI: https://doi.org/10.1007/BFb0096249

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09733-4

  • Online ISBN: 978-3-540-38547-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics