Skip to main content
Log in

Decomposition of positive projections onC*-algebras

  • 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. Arveson, W.: Subalgebras ofC*-algebras. Acta math.123, 141–224 (1969)

    Google Scholar 

  2. Broise, M.: Letter to the author (1967)

  3. Choi, M.-D.: Positive semi-definite biquadratic forms. Linear Algebra and Appl.12, 95–100 (1975)

    Google Scholar 

  4. Choi, M.-D., Effros, E.: Injectivity and operator spaces. J. Functional Analysis24, 156–209 (1974)

    Google Scholar 

  5. Dixmier, J.: Les algèbres d'opérateurs dans l'espaces hilbertien. Paris: Gauthier-Villars 1957

    Google Scholar 

  6. Dixmier, J.: LesC*-algèbres et leurs représentations. Paris: Gauthier-Villars 1964

    Google Scholar 

  7. Effros, E., Størmer, E.: Jordan algebras of self-adjoint operators. Trans. Amer. Math. Soc.127, 313–316 (1967)

    Google Scholar 

  8. Effros, E., Størmer, E.: Positive projections and Jordan structure in operator algebras. Math. Scand.45, 127–138 (1979)

    Google Scholar 

  9. Jordan, P., Neumann, J. von, Wigner, E.: On an algebraic generalization of the quantum mechanical formalism. Ann. of Math.35, 29–64 (1934)

    Google Scholar 

  10. Kadison, R.V.: A generalized Schwarz inequality and algebraic invariants for operator algebras. Ann. of Math.56, 494–503 (1952)

    Google Scholar 

  11. Kadison, R.V.: The trace in finite operator algebras. Proc. Amer. Math. Soc.12, 973–977 (1961)

    Google Scholar 

  12. Stinespring, W.F.: Positive functions onC*-algebras. Proc. Amer. Math. Soc.6, 211–216 (1955)

    Google Scholar 

  13. Størmer, E.: Positive linear maps of operator algebras. Acta math.110, 233–278 (1963)

    Google Scholar 

  14. Størmer, E.: On the Jordan structure ofC*-algebras. Trans. Amer. Math. Soc.120, 438–447 (1965)

    Google Scholar 

  15. Størmer, E.: Jordan algebras of type I. Acta math.115, 165–184 (1966)

    Google Scholar 

  16. Størmer, E.: Irreducible Jordan algebras of self-adjoint operators. Trans. Amer. Math. Soc.130, 153–166 (1968)

    Google Scholar 

  17. Størmer, E.: Positive linear maps ofC*-algebras. Lecture Notes in Physics 29, pp. 85–106. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  18. Tomiyama, J.: On the projection of norm one inW*-algebras. Proc. Japan Acad.33, 608–612 (1957)

    Google Scholar 

  19. Topping, D.: Jordan algebras of self-adjoint operators. Mem. Amer. Math. Soc.53 (1965)

  20. Woronowicz, S.L.: Positive maps of low dimensional matrix algebras. Rep. Math. Phys.10, 165–183 (1976)

    Google Scholar 

  21. Woronowicz, S.L.: Nonextendible positive maps. Commun. Math. Phys.51, 243–282 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Störmer, E. Decomposition of positive projections onC*-algebras. Math. Ann. 247, 21–41 (1980). https://doi.org/10.1007/BF01359865

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01359865

Keywords

Navigation