Skip to main content
SpringerLink
Log in

Jauch-Piron states on von Neumann algebras

  • 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. Amann, A.: Jauch-Piron states inW *-algebraic quantum mechanics. J. Math. Phys.28 (10), 2384–2389 (1989)

    Article  MathSciNet  Google Scholar 

  2. Bunce, L.J., Wright, J.D.M.: Complex measures on projections in von Neumann algebras. J. Lond. Math. Soc. (to appear)

  3. Bunce, L.J., Wright, J.D.M.: The Mackey-Gleason problem. Bull. Am. Math. Soc.26 (no. 2), 288–293 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bunce, L.J., Navara, M., Pták, P., Wright, J.D.M.: Quantum logics with Jauch-Piron states. Q. J. Math., Oxf. II. Ser.36, 261–272 (1985)

    Article  MATH  Google Scholar 

  5. Christensen, E.: Measures on projections and physical states. Commun. Math. Phys.86, 529–538 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  6. Dixmier, J.:C *-Algebras. Amsterdam: North Holland 1977

    Google Scholar 

  7. Gleason, A.M.: Measures on closed subspaces of a Hilbert space. J. Math. Mech.6, 885–893 (1957)

    MATH  MathSciNet  Google Scholar 

  8. Jauch, J.M.: Foundations of Quantum Mechanics. Reading, MA: Addison-Wesley 1968

    MATH  Google Scholar 

  9. Jauch, J.M., Piron, C.: On the structure of quantum proposition systems. Helv. Phys. Acta42, 827–837 (1969)

    MathSciNet  Google Scholar 

  10. Pedersen, G.K.:C *-algebras and their Authomorphisms Groups. New York London: Academis Press 1979

    Google Scholar 

  11. Pták, P., Pulmannová, S.: Orthomodular Structures as Quantum Logics. Dordrecht Boston London, Kluwer 1991

    MATH  Google Scholar 

  12. Mackey, G.W.: Mathematical Foundations of Quantum Mechanics. New York: Benjamin 1963

    MATH  Google Scholar 

  13. Ruttimann, G.: Jauch-Piron states. J. Math. Phys.18 (2), 189–193 (1977)

    Article  MathSciNet  Google Scholar 

  14. Stratilla, S., Zsido, L.: Lectures on von Neumann Algebras. Tunbridge Wells: Abacus Press 1979

    Google Scholar 

  15. Takesaki, M.: Theory of Operator Algebras I. Berlin Heidelberg New York: Springer 1979

    MATH  Google Scholar 

  16. Yeadon, F.J.: Finitely additive measures on projections in finiteW *-algebras. Bull. Lond. Math. Soc.16, 145–150 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  17. Zierler, N.: Axioms for non relativistic quantum mechanics. Pac. J. Math.11, 1151–1169 (1961)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Reading University, RG6 2AX, Reading, UK

    L. J. Bunce

  2. Electrical Eng. Department of Mathematics, Technical University of Prague, Technicka 2, 166 27, Prague 6, Czechoslovakia

    J. Hamhalter

Authors
  1. L. J. Bunce
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Hamhalter
    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

Bunce, L.J., Hamhalter, J. Jauch-Piron states on von Neumann algebras. Math Z 215, 491–502 (1994). https://doi.org/10.1007/BF02571726

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571726

Keywords

Search

Navigation