Skip to main content
SpringerLink
Log in

Conditional expectations in Lp-spaces over von neumann algebras

  • Conference paper
  • First Online:
Quantum Probability and Applications II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1136))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Accardi, C. Cecchini, Conditional Expectations in von Neumann Algebras and a Theorem of Takesaki, J. Func. Anal. 45(1982), 245–273.

    Article  MathSciNet  MATH  Google Scholar 

  2. H. Araki, T. Masuda, Positive Cones and Lp-Spaces for von Neumann Algebras, Publ. Res. Inst. Math. Sci. 18(1982), 339–411.

    MathSciNet  MATH  Google Scholar 

  3. J. Bergh, J. Löfström, Interpolation Spaces, Springer-V. 1976.

    Google Scholar 

  4. C. Cecchini, D. Petz, Norm convergence of generalized martingales in Lp-spaces over von Neumann algebras, preprint 1984.

    Google Scholar 

  5. S. Goldstein, Norm convergence of martingales in Lp-spaces over von Neumann algebras, preprint 1983.

    Google Scholar 

  6. U. Haagerup, Lp-spaces associated with an arbitrary von Neumann algebra, Colloq. Internat. CNRS, No. 274, 1979, pp. 175–184.

    MathSciNet  MATH  Google Scholar 

  7. H. Kosaki, Applications of the complex interpolation method to a von Neumann algebra, J. Func. Anal. 56(1984), 29–78.

    Article  MathSciNet  MATH  Google Scholar 

  8. H. Kosaki, Positive cones associated with a von Neumann algebra, Math. Scand. 47(1980), 295–307.

    MathSciNet  MATH  Google Scholar 

  9. D. Petz, A Dual in von Neumann Algebras with Weights, to appear in Quart. J. Math. Oxford(2).

    Google Scholar 

  10. M. Takesaki, Conditional Expectations in von Neumann Algebras, J. Func. Anal. 9(1972), 306–321.

    Article  MathSciNet  MATH  Google Scholar 

  11. M. Terp, Lp-spaces associated with von Neumann algebras, preprint 1981.

    Google Scholar 

  12. M. Tsukada, Strong convergence of martingales in von Neumann algebras, Proc. Amer. Math. Soc. 88(1983), 537–540.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Łódź University, ul. Banacha 22, 90-238, Łódź, Poland

    S. Goldstein

Authors
  1. S. Goldstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Luigi Accardi Wilhelm von Waldenfels

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Goldstein, S. (1985). Conditional expectations in Lp-spaces over von neumann algebras. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications II. Lecture Notes in Mathematics, vol 1136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074475

Download citation

  • DOI: https://doi.org/10.1007/BFb0074475

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15661-1

  • Online ISBN: 978-3-540-39570-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation