Skip to main content
SpringerLink
Log in

M-Ideals of compact operators

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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. Alfsen, E. M., Effros, E. G.: Structure in real Banach spaces I. Ann. of Math., II. Ser.,96, 98–128 (1972)

    Google Scholar 

  2. Dixmier, J.: Les fonctionnelles linéaires sur l'ensembles des opérateurs bornés d'un espace de Hilbert. Ann. of Math., II. Ser.51, 387–408 (1950)

    Google Scholar 

  3. Dunford, N., Schwartz, J. T.: Linear operators I. New York: Interscience 1958

    Google Scholar 

  4. Fakhoury, H.: Approximation par des opérateurs compacts ou faiblement compacts à valeurs dansC(X), C. r. Acad. Sci., Paris, Sér. A283, 615–618 (1976)

    Google Scholar 

  5. Fakhoury, H., Existence d'une projection continue de meilleure approximation dans certains espaces de Banach, J. Math. pur. appl., IX. Sér.53, 1–16 (1974)

    Google Scholar 

  6. Hennefeld, J. A.: A decomposition forB(X)* and unique Hahn-Banach extensions, Pacific J. Math.46, 197–199 (1973)

    Google Scholar 

  7. Holmes, R.B.: M-ideals in approximation-theory. New York: Academic Press 1976 (quoted in G.G Lorentz, Approximation theory II)

    Google Scholar 

  8. Holmes, R. B., Kripke, B. R.: Best approximation by compact operators. Indiana Univ. Math. J.21, 255–263 (1971–1972)

    Google Scholar 

  9. Holmes, R. B., Scranton, B., Ward, J. D.: Approximations from the space of compact operators and other M-ideals. Duke Math.J.39, 1–8 (1972)

    Google Scholar 

  10. Krein, M. G.: Propiétés fondamentales des ensembles coniques normaux dans l'espace de Banach. Doklady Akad. Nauk SSSR28, 13–17 (1940)

    Google Scholar 

  11. Mach, J.: On the proximinality of compact operators. Preprint (1966)

  12. Mach. J., Ward, J.D.: Approximation by compact operators on certain Banach spaces, to appear in J. Approximation Theory (1976)

  13. Schaefer, H. H.: Topological vector spaces. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  14. Schaefer, H. H.: Banach lattices and positive operators, Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

  15. Schatten, R.: Norm ideals of completely continuous operators, Berlin-Heidelberg-New York: Springer 1960

    Google Scholar 

  16. Smith, R. R., Ward, J. D.: M-ideal structure in Banach algebras, preprint (1976)

Download references

Author information

Authors and Affiliations

  1. Bergstr. 12, D-4507, Hasbergen, Germany

    Klaus Saatkamp

Authors
  1. Klaus Saatkamp
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saatkamp, K. M-Ideals of compact operators. Math Z 158, 253–263 (1978). https://doi.org/10.1007/BF01214796

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214796

Keywords

Search

Navigation