Skip to main content

Non commutative Lp spaces and K.M.S. functions

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

Keywords

  • Conditional Expectation
  • Polar Decomposition
  • Partial Isometry
  • Positive Form
  • Normal Faithful State

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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.

Bibliography

  1. L. Accardi, C. Cecchini "Conditional expectations in von Neumann algebras and a theorem of Takesaki" J. Funct. anal. 45 (1982), 215–273.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C.Cecchini, "Non commutative integration for states on von Neumann algebras" — preprint, to be published on J. Op. Th.

    Google Scholar 

  3. C.Cecchini, D.Petz "Norm convergence of generalized martingales in Lp spaces over von Neumann algebras" — preprint, to be published on Acta Sc.Math.

    Google Scholar 

  4. A. Connes "On the spatial theory of von Neumann algebras" J;Fucnt. Anal. 35 (1980) 153–164.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. M.Terp "Interpolation spaces between a von Neumann algebras and its dual" J. Op. Theory (1982), 327–360.

    Google Scholar 

  9. 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

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Cecchini, C. (1985). Non commutative Lp spaces and K.M.S. functions. 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/BFb0074467

Download citation

  • DOI: https://doi.org/10.1007/BFb0074467

  • 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