Skip to main content
Log in

Integration with respect to a trace

  • Published:
Archiv der Mathematik 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. C. A. Akemann, J. Anderson andG. K. Pedersen, Triangle inequalities in operator algebras. Linear and Mulitlinear Algebra11, 167–178 (1982).

    Google Scholar 

  2. J.Bergh and J.Löfström, Interpolation spaces. Berlin-Heidelberg-New York 1976.

  3. A. P. Calderón, Intermediate spaces and interpolation, the complex method. Studia Math.24, 113–190 (1964).

    Google Scholar 

  4. J. Dixmier, Formes linéaires sur un anneau d'opérateurs. Bull. Soc. Math. France81, 9–39 (1953).

    Google Scholar 

  5. J.Dixmier, Les algèbres d'opérateurs dans l'espace Hilbertien. Paris 1969.

  6. P. R.Halmos, Measure Theory. New York-Cincinnati-Toronto-London-Melbourne 1950.

  7. T.Kato, Perturbation Theory for Linear Operators. Berlin-Heidelberg-New York 1976.

  8. R. A. Kunze,L p Fourier transforms on locally compact unimodular groups. Trans. Amer. Math. Soc.89, 519–540 (1958).

    Google Scholar 

  9. M. Leinert, Daniell-Stone integration without the lattice condition. Arch. Math.38, 258–265 (1982).

    Google Scholar 

  10. M.Leinert, On integration with respect to a trace. In: Aspects of positivity in Functional Analysis, (ed. Nagel et al.) North Holland Math. Stud.122, 231–239 (1986).

  11. M. Leinert, Integration with respect to a weight. Internat. J. Math.2, 177–182 (1991).

    Google Scholar 

  12. E. Nelson, Notes on non-commutative integration. J. Funct. Anal.15, 103–116 (1974).

    Google Scholar 

  13. M.Reed and B.Simon, Methods of Modern Mathematical Physics I. New York-London 1972.

  14. I. Segal, A non-commutative extension of abstract integration. Ann. of Math. (2)57, 401–457 (1953).

    Google Scholar 

  15. W. F. Stinespring, Integration theorems for gages and duality for unimodular groups. Trans. Amer. Math. Soc.90, 15–56 (1959).

    Google Scholar 

  16. L. Servidei, Different methods of complex interpolation. Bull. Austral. Math. Soc.40, 389–395 (1989).

    Google Scholar 

  17. M.Takesaki, Theory of Operator Algebras I. Berlin-Heidelberg-New York 1979.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leinert, M. Integration with respect to a trace. Arch. Math 59, 475–486 (1992). https://doi.org/10.1007/BF01236043

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236043

Navigation