De nouveaux espaces de Banach sans la propriété d'approximation

Gilles Pisier

Séminaire Bourbaki (1978-1979)

  • Volume: 21, page 312-327
  • ISSN: 0303-1179

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Pisier, Gilles. "De nouveaux espaces de Banach sans la propriété d'approximation." Séminaire Bourbaki 21 (1978-1979): 312-327. <http://eudml.org/doc/109943>.

@article{Pisier1978-1979,
author = {Pisier, Gilles},
journal = {Séminaire Bourbaki},
keywords = {nuclearity of C*-algebras; counterexamples; approximation property},
language = {fre},
pages = {312-327},
publisher = {Springer-Verlag},
title = {De nouveaux espaces de Banach sans la propriété d'approximation},
url = {http://eudml.org/doc/109943},
volume = {21},
year = {1978-1979},
}

TY - JOUR
AU - Pisier, Gilles
TI - De nouveaux espaces de Banach sans la propriété d'approximation
JO - Séminaire Bourbaki
PY - 1978-1979
PB - Springer-Verlag
VL - 21
SP - 312
EP - 327
LA - fre
KW - nuclearity of C*-algebras; counterexamples; approximation property
UR - http://eudml.org/doc/109943
ER -

References

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  3. [3] A.M. Davie - The approximation problem for Banach spaces, Bull. London Math. Soc.5 (1973) 261-266. Zbl0267.46013MR338735
  4. [4] P. Enflo - A counterexample to the approximation property in Banach spaces, Acta Math.130 (1973) 309-317. Zbl0267.46012MR402468
  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. Zbl0289.46015MR341032
  6. [6] T. Figiel et A. Pełczynski - On Enflo's method of construction of Banach spaces without the approximation property, Uspechi Math. Nauk SSSR28, 6 (1973) 95-108. Zbl0305.46027
  7. [7] A. Grothendieck - Produits tensoriels topologiques et espaces nucléaires, Memoirs Amer. Math. Soc. No 16 (1955). Zbl0123.30301MR75539
  8. [8] U. Haagerup - An example of a non-nuclear C*-algebra, which has the metric approximation property, Inventiones Math.50 (1979) 279-293. Zbl0408.46046MR520930
  9. [9] S. Heinrich - Finite representability and super-ideals of operators, Dissertationes Math. (à paraître). Zbl0443.47042
  10. [10] F. John - Extremum problems with inequalities as subsidiary conditions, Courant Anniversary volume, p. 187-204, Interscience New York (1948). Zbl0034.10503MR30135
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  12. [12] S. Kwapien - On Enflo's example of a Banach space without the approximation property, Exposés 8-9, Séminaire Goulaouic-Schwartz1972-73, Ecole Polytechnique, Paris. Zbl0263.46018
  13. [13] J. Lindenstrauss et L. Tzafriri - The uniform approximation property in Orlicz spaces, Israel J. Math.23 (1976) 142-155. Zbl0347.46025MR399806
  14. [14] J. Lindenstrauss et L. Tzafriri - Classical Banach spaces - I - Sequence spaces, Ergebnisse ... No 92, Springer-Verlag (1977). Zbl0362.46013MR500056
  15. [15] J. Lindenstrauss et L. Tzafriri - Idem - II - Function spaces (à paraître). 
  16. [16] A. Pełczynski et H.P. Rosenthal - Localization techniques in L p-spaces, Studia Math.52 (1975) 263-289. Zbl0297.46023
  17. [17] J. Stern - Propriétés locales et ultrapuissances d'espaces de Banach, Exposés 7 et 8, Séminaire Maurey-Schwartz1974-75, Ecole Polytechnique, Paris. Zbl0318.46027
  18. [18] A. Szankowski - A Banach lattice without the approximation property, Israel J. Math.24 (1976) 329-337. Zbl0336.46013MR420231
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