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

  • Gilles Pisier
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 770)

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Bibliographie

  1. [1]
    M.D. CHOI et E.G. EFFROS-Nuclear C*-algebras and the approximation property, Amer. J. Math. 100 (1978) 61–79.zbMATHMathSciNetCrossRefGoogle Scholar
  2. [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. [3]
    A.M. DAVIE-The approximation problem for Banach spaces, Bull. London Math. Soc. 5 (1973) 261–266.zbMATHMathSciNetGoogle Scholar
  4. [4]
    P. ENFLO-A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973) 309–317.zbMATHMathSciNetCrossRefGoogle Scholar
  5. [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.zbMATHMathSciNetCrossRefGoogle Scholar
  6. [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.zbMATHGoogle Scholar
  7. [7]
    A. GROTHENDIECK-Produits tensoriels topologiques et espaces nucléaires, Memoirs Amer. Math. Soc. No 16 (1955).Google Scholar
  8. [8]
    U. HAAGERUP-An example of a non-nuclear C*-algebra, which has the metric approximation property, Inventiones Math. 50 (1979) 279–293.zbMATHMathSciNetCrossRefGoogle Scholar
  9. [9]
    S. HEINRICH-Finite representability and super-ideals of operators, Dissertationes Math. (à paraître).Google Scholar
  10. [10]
    F. JOHN-Extremum problems with inequalities as subsidiary conditions, Courant Anniversary volume, p. 187–204, Interscience New York (1948).Google Scholar
  11. [11]
    E. KIRSHBERG-C*-nuclearity implies CPAP, Math. Nachr. 76 (1977) 203–212.MathSciNetGoogle Scholar
  12. [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. [13]
    J. LINDENSTRAUSS et L. TZAFRIRI-The uniform approximation property in Orlicz spaces, Israel J. Math. 23 (1976) 142–155.zbMATHMathSciNetGoogle Scholar
  14. [14]
    J. LINDENSTRAUSS et L. TZAFRIRI-Classical Banach spaces-I-Sequence spaces, Ergebnisse ... No 92, Springer-Verlag (1977).Google Scholar
  15. [15]
    J. LINDENSTRAUSS et L. TZAFRIRI-Idem-II-Function spaces (à paraître).Google Scholar
  16. [16]
    A. PEŁCZYNSKI et H.P. ROSENTHAL-Localization techniques in Lp-spaces, Studia Math. 52 (1975) 263–289.zbMATHGoogle Scholar
  17. [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. [18]
    A. SZANKOWSKI-A Banach lattice without the approximation property, Israel J. Math. 24 (1976) 329–337.zbMATHMathSciNetCrossRefGoogle Scholar
  19. [19]
    A. SZANKOWSKI-Subspaces without the approximation property, Israel J. Math. 30 (1978) 123–129.zbMATHMathSciNetGoogle Scholar
  20. [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. [21]
    A. SZANKOWSKI-Article en préparation.Google Scholar
  22. [22]
    M. TAKESAKI-On the cross-norm of the direct product of C*-algebras, Tohoku Math. J. 16 (1964) 111–122.MathSciNetGoogle Scholar
  23. [23]
    S. WASSERMAN-On tensor products of certain group C*-algebras, J. Funct. Analysis 23 (1976) 239–254.CrossRefGoogle Scholar
  24. [24]
    C. LANCE-On nuclear C*-algebras, J. Funct. Analysis 12 (1973) 157–176.zbMATHMathSciNetCrossRefGoogle Scholar

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© N. Bourbaki 1980

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  • Gilles Pisier

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