Skip to main content
SpringerLink
Log in

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

  • Published:
Acta Mathematica

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Choi, M. &Effros, E., NuclearC *-algebras and the approximation property.Amer. J. Math., 100 (1978), 61–79.

    MathSciNet  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  3. Grothendieck, A., Produits tensoriels topologiques et espaces nuclearies.Memoirs Amer. Math. Soc., 16 (1955).

  4. Haagerup, U., An example of a non-nuclearC *-algebra, which has the metric approximation property.Invent. Math., 50 (1979), 279–293.

    Article  MATH  MathSciNet  Google Scholar 

  5. Lance, C., On nuclearC *-algebras,J. Functional Analysis, 12 (1973), 157–176.

    Article  MATH  MathSciNet  Google Scholar 

  6. Lindenstrauss, J. & Tzafriri, L.,Classical Banach Spaces, Vol. 1. Springer-Verlag 1977.

  7. 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.

  8. Takesaki, M., On the cross-norm of the direct product ofC *-algebras.Tohoku Math. J., 16 (1964), 111–122.

    MathSciNet  Google Scholar 

  9. Wasserman, S., On tensor products of certain groupC *-algebras.J. Functional Analysis, 23 (1976), 239–254.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Hebrew University of Jerusalem, Jerusalem, israel

    Andrzej Szankowski

  2. University of Copenhagen, Copenhagen, Denmark

    Andrzej Szankowski

Authors
  1. Andrzej Szankowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the Danish Natural Sciences Research Council.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szankowski, A. B(H) does not have the approximation propertydoes not have the approximation property. Acta Math. 147, 89–108 (1981). https://doi.org/10.1007/BF02392870

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392870

Keywords

Search

Navigation