Skip to main content

Non-commutative probability theory on von neumann algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 472)

Keywords

  • Orthogonal Projection
  • Conditional Expectation
  • Density Operator
  • Separable Hilbert Space
  • Finite Measure Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dye, H. A., The Radon-Nikodym theorem for finite rings operators, Trans. Amer. Math. Soc., 72(1952), 243–280.

    MathSciNet  MATH  Google Scholar 

  2. Halmos, P. R., Measure Theory, Van Nostrand, New York 1950.

    CrossRef  MATH  Google Scholar 

  3. Gleason, A. M., Measures on the closed subspaces of a Hilbert space, Journal of Mathematics and Mechanics 6(1957), 885–894.

    MathSciNet  MATH  Google Scholar 

  4. Gudder, S., and J.-P. Marchand, Non-commutative probability on von Neumann algebras, J. Math. Physics 13(1972), 799–806.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Kato, T., Perturbation Theory for Linear Operators, Springer-Verlag, Berlin-Heidelberg-New York 1966.

    CrossRef  MATH  Google Scholar 

  6. M aczyński, M., Conditional expectation in von Neumann algebras, submitted for publication in Studia Mathematica.

    Google Scholar 

  7. Ramsay, A., A theorem on two commuting observables, Journal of Mathematics and Mechanics, 15(1966), 227–234.

    MathSciNet  MATH  Google Scholar 

  8. Topping, T.M., Lectures on von Neumann Algebras, London 1971.

    Google Scholar 

  9. Dixmier, J., Formes linéaires sur un anneau d'operateurs, Bull. Soc. Math. France, 81(1953), 9–30.

    MathSciNet  MATH  Google Scholar 

  10. Sakai, S., C*—algebras and W*—algebras, Springer-Verlag, Berlin-Heidelberg-New York 1973.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

M aczyński, M.J. (1975). Non-commutative probability theory on von neumann algebras. In: Ciesielski, Z., Urbanik, K., Woyczyński, W.A. (eds) Probability-Winter School. Lecture Notes in Mathematics, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081949

Download citation

  • DOI: https://doi.org/10.1007/BFb0081949

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07190-7

  • Online ISBN: 978-3-540-37556-2

  • eBook Packages: Springer Book Archive