Skip to main content
Log in

Fredholm theories in von Neumann algebras. I

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Atkinson, F. V.: The normal solubility of linear equations in normal spaces. Math. Sbornik N. S.28, (70) (1951).

  2. Cordes, H. O.: On a generalized Fredholm theory, to appear.

  3. —— Über eine nicht algebraische Charakterisierung von ℊ-Fredholm-Operatoren. Math. Ann.163, 212–224 (1966).

    Google Scholar 

  4. ——, and J. P. Labrousse: The invariance of the index in the metric space of closed operators. J. Math. and Mech.12, 693–720 (1963).

    Google Scholar 

  5. Dieudonné, J.: Foundations of Modern Analysis. New York and London: Academic Press 1960.

    Google Scholar 

  6. Dixmier, J.: Applications dans les anneaux d'opérateurs. Compos. Math.10, 1–55 (1952).

    Google Scholar 

  7. —— Les algebres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 1957.

    Google Scholar 

  8. Halperin, I.: Complemented Modular Lattices. Proc. Symposium in Pure Mathematics, Vol. II. Providence R. I., 1961.

  9. Kaplansky, I.: Rings of Operators. Univ. of Chicago Notes, 1955.

  10. Lang, S.: Algebra. New York: Interscience Publishers 1965.

    Google Scholar 

  11. Murray, F. J., and J. von Neumann: On Rings of Operators. Ann. of Math.37, 116–229 (1936).

    Google Scholar 

  12. Neubauer, G.: Über den Index abgeschlossener Operatoren in Banachräumen. Math. Ann.160, 93–130 (1965).

    Google Scholar 

  13. —— Über den Index abgeschlossener Operatoren in Banachräumen II. Math. Ann.162, 92–119 (1965).

    Google Scholar 

  14. Neumann, J. von: Continuous Geometry. Proc. Nat. Acad. Sci. U.S.A.22, 98–110 (1936).

    Google Scholar 

  15. Riesz, F., and B. Nagy: Functional Analysis. New York: Frederic Ungar Publishing Co. 1955.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research done under NSF Grant GP-3460.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Breuer, M. Fredholm theories in von Neumann algebras. I. Math. Ann. 178, 243–254 (1968). https://doi.org/10.1007/BF01350663

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350663

Keywords

Navigation