Skip to main content

Convergences in W*-algebras — Their strange behaviour and tools for their investigation

Part of the Lecture Notes in Mathematics book series (LNM,volume 1396)

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. C.J.K. Batty, The Strong Law of Large Numbers for States and Traces of a W*-Algebra, Z. Wahrsch. Verw. Gebiete 48 (1979), 177–191.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. S. Goldstein and A. Łuczak, Sample continuity moduli theorem in von Neumann algebras, Probability Theory on Vector Spaces III Lublin 1983, Proceedings, Lecture Notes Math. 1080 (1984), 61–68.

    CrossRef  Google Scholar 

  3. E. Ignaczak, Convergences of subsequences in W*-algebra, to appear.

    Google Scholar 

  4. R. Jajte, "Strong Limit Theorems in Non-Commutative Probability", Lecture Notes Math. 1110 (1985).

    Google Scholar 

  5. E.C. Lance, Martingale convergence in von Neumann algebras, Math. Proc. Cambridge Philos. Soc. 84 (1978), 47–56.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. A. Łuczak, Laws of large numbers in von Neumann algebras and related results, Studia Math. 81 (1985), 231–243.

    MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. A.R. Podmanabhan, Convergence in measure and related results in finite rings of operators, Trans. Amer. Math. Soc. 128 (1967), 359–378.

    CrossRef  MathSciNet  Google Scholar 

  9. A. Paszkiewicz, Convergences in W*-Algebras, J. Funct. Anal. 69 (1986), 143–154.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. —, Convergences almost everywhere in W*-algebras, Quantum Probability and Applications II, Heidelberg 1984, Lecture Notes Math. 1136 (1985), 420–427.

    CrossRef  MathSciNet  Google Scholar 

  11. —, A limit in probability in a W*-algebra is unique, to appear.

    Google Scholar 

  12. I.E. Segal, A Non-Commutative Extension of Abstract Integration, Ann. Math. 57 (1953), 401–457.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. S. Stratila and L. Zsido, "Lectures on von Neumann Algebras", Editura Academici, Bucharest, 1979.

    MATH  Google Scholar 

  14. M. Takesaki, "Theory of Operator Algebras. I", Springer-Verlag Berlin-Heidelberg-New York, 1979.

    CrossRef  MATH  Google Scholar 

  15. F.J. Yeadon, Non-commutative Lp-spaces, Math. Proc. Cambridge Philos. Soc. 77 (1975), 91–102.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. K. Yosida, "Functional Analysis", Springer-Verlag, Berlin-Heidelberg-New York, 1974.

    CrossRef  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Paszkiewicz, A. (1989). Convergences in W*-algebras — Their strange behaviour and tools for their investigation. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083558

Download citation

  • DOI: https://doi.org/10.1007/BFb0083558

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51613-2

  • Online ISBN: 978-3-540-46713-7

  • eBook Packages: Springer Book Archive