Skip to main content

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1055))

  • 564 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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.

Bibliography

  1. L.Accardi. Noncommutative Markov chains,Proc. School of Math.Phys. Camerino (1974).

    Google Scholar 

  2. L. Accardi, C. Cecchini. Conditional expectations in von Neumann algebras and a theorem of Takesaki. J.Funct.Anal. 45 (1982), 245–273.

    Article  MathSciNet  MATH  Google Scholar 

  3. L.Accardi, C.Cecchini. Surjectivity of the conditional expectations on the L1 spaces, to appear on the Proceedings of the Cortona Harmonic Analysis Conference (1982)

    Google Scholar 

  4. F. Combes. Poids associé a une algèbre Hilbertienne a gauche, Compositio Math. 23 (1971) 49–77.

    MathSciNet  MATH  Google Scholar 

  5. A. Connes. Sur le theorème de Radon-Nikodyn pour les poids normaux fidèles semifinies, Bull. Soc. Math. France 2-eme serie 97 (1973) 253–258.

    MathSciNet  MATH  Google Scholar 

  6. A. Connes Une classification des facteurs de type III, Ann. Sci. Ecole Norm. Sup. 4-ème serie 6 fasc. 2 (1973) 133–252.

    MathSciNet  MATH  Google Scholar 

  7. A. Connes. On the spatial theory of von Neumann algebras, J. Funct. Anal. 35 (1980) 153–164.

    Article  MathSciNet  MATH  Google Scholar 

  8. V.Ya. Golodez. Conditional expectations and modular automorphism of von Neumann algebras, Functional Anal. Appl. 6 (1972) 68–69

    Google Scholar 

  9. U. Haagerup. Operator valued weights in von Neumann algebras I, J. Funct. Anal. 32 (1979) 175–206; II,33 (1979) 339–361.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Hilsum. Les espaces Lp d'une algèbre de von Neumann définies par la derivée spatiale, J. Funct. Anal. 40 (1981) 151–169.

    Article  MathSciNet  MATH  Google Scholar 

  11. S.T.C. Moy. Characterization of conditional expectation as a transformation of function spaces, Pacific J. Math. 4 (1954) 47–64.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Nakamura-T. Turmaru. Expextations in an operator algebra, Tohoku Math. J. 6 (1954) 174–176.

    Article  MathSciNet  Google Scholar 

  13. A.N. Sherstnev. A general theory of measure and integration in von Neumann algebras (in Russian), Matematika 8 (1982) 20–35.

    MathSciNet  MATH  Google Scholar 

  14. M. Takesaki. Tomita's theory of modular Hilbert algebras and its applications, Lecture Notes in Mathematics no 128. Springer Verlag, Berlin New York (1970).

    MATH  Google Scholar 

  15. M. Takesaki. Conditional expectations in von Neumann algebras, J.Funct. Anal. 9 (1972) 306–321.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Tomyiama. On the projection of norm one in W* algebras I, Proc.Japan Acad. 33 (1957) 608–612; II Tohoku Math. J. 10 (1958) 204–209, III,11 (1959) 204–209.

    Article  MathSciNet  Google Scholar 

  17. N.V.Trunov. On a noncommutative analogue of the space Lp, English transl. in Soviet Mathematics (Izvestiya VUZ Matematikan) 23 no 11 (1979) 71–79.

    Google Scholar 

  18. H. Umegaki. Conditional expectations in an operator algebra I, Tohoku Math.J. 6 (1954) 177–181; II,8 (1956) 86–100; III Kodai Math. Sem. Rep. 11 (1959) 51–64;IV, 14 (1962) 59–85.

    Article  MathSciNet  MATH  Google Scholar 

  19. A.A. Zoletarev. Lp spaces on von Neumann algebras and interpolation (in Russian), Matematika 8 (1982) 36–43.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Luigi Accardi Alberto Frigerio Vittorio Gorini

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Cecchini, C. (1984). Noncommutative integration and conditioning. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071711

Download citation

  • DOI: https://doi.org/10.1007/BFb0071711

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12915-8

  • Online ISBN: 978-3-540-38798-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics