Acta Mathematica

B(H) does not have the approximation propertydoes not have the approximation property

Andrzej Szankowski

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Supported in part by the Danish Natural Sciences Research Council.

Article information

Source
Acta Math. Volume 147 (1981), 89-108.

Dates
Received: 1 April 1981
First available in Project Euclid: 31 January 2017

Permanent link to this document
http://projecteuclid.org/euclid.acta/1485890131

Digital Object Identifier
doi:10.1007/BF02392870

Mathematical Reviews number (MathSciNet)
MR631090

Zentralblatt MATH identifier
0486.46012

Rights
1981 © Almqvist & Wiksell

Citation

Szankowski, Andrzej. B ( H ) does not have the approximation propertydoes not have the approximation property. Acta Math. 147 (1981), 89--108. doi:10.1007/BF02392870. http://projecteuclid.org/euclid.acta/1485890131.


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References

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  • Enflo, P., A counterexample to the approximation property in Banach spaces. Acta Math., 130 (1973), 309–317.
  • Grothendieck, A., Produits tensoriels topologiques et espaces nuclearies. Memoirs Amer. Math. Soc., 16 (1955).
  • Haagerup, U., An example of a non-nuclearC*-algebra, which has the metric approximation property. Invent. Math., 50 (1979), 279–293.
  • Lance, C., On nuclear C*-algebras, J. Functional Analysis, 12 (1973), 157–176.
  • Lindenstrauss, J. & Tzafriri, L., Classical Banach Spaces, Vol. 1. Springer-Verlag 1977.
  • Szankowski, A., The space of all bounded operators on Hilbert space does not have the approximation property, exposé, XIV–XV. Seminaire d'analyse fonctionnelle, 1978–79, Ecole Polytechnique.
  • Takesaki, M., On the cross-norm of the direct product of C*-algebras. Tohoku Math. J., 16 (1964), 111–122.
  • Wasserman, S., On tensor products of certain group C*-algebras. J. Functional Analysis, 23 (1976), 239–254.