Skip to main content
SpringerLink
Log in

A non-commutative Pettis theorem

  • Conference paper
  • First Online:
Measure Theory Oberwolfach 1981

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 945))

  • 380 Accesses

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 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.

References

  1. Akemann, C.A.: The dual space of an operator algebra. Trans. Amer. Math. Soc. 126, 286–302 (1967).

    Article  MathSciNet  MATH  Google Scholar 

  2. Dunford, N., Schwartz, J.: Linear Operators, vol. 1 London-New York: Interscience 1958.

    MATH  Google Scholar 

  3. Kunisawa, K.: Some theorems on abstractly-valued functions in an abstract space. Proc. Imp. Acad. Tokyo 16, 68–72 (1940).

    Article  MathSciNet  MATH  Google Scholar 

  4. Pedersen, G.K.: On weak and monotone σ-closures of C*-algebras. Comm. Math. Phys. 11, 221–226 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  5. Pettis, B.J.: On integration in vector spaces. Trans. Amer. Math. Soc. 44, 277–304 (1938).

    Article  MathSciNet  MATH  Google Scholar 

  6. Pettis, B.J.: Absolutely continuous functions in vector spaces. Bull. Amer. Math. Soc. 45, 677 (1939).

    Google Scholar 

  7. Ringrose, J.R.: Linear functionals on operator algebras and their abelian subalgebras. J. London Math. Soc. (2) 7, 553–560 (1973).

    MathSciNet  MATH  Google Scholar 

  8. Robertson, A.P. and Robertson, W.: Topological Vector Spaces. Cambridge University Press 1964.

    Google Scholar 

  9. Takesaki, M.: On the conjugate space of an operator algebra. Tôhoku Math. J. 10, 194–203 (1958).

    Article  MathSciNet  MATH  Google Scholar 

  10. Wright, J.D.M.: Operators from C*-algebras to Banach spaces. Math. Z. 172, 123–129 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  11. Wright, J.D.M.: Every monotone σ-complete C*-algebra is the quotient of its Baire* envelope by a two-sided σ-ideal. J. London Math. Soc. 6, 210–214 (1973). *** DIRECT SUPPORT *** A00J4419 00012

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Miami University, Hamilton, Ohio, USA

    N. Azarnia & J. D. Maitland Wright

  2. Department of Mathematics, University of Reading, Whiteknights, Reading, England

    N. Azarnia & J. D. Maitland Wright

Authors
  1. N. Azarnia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. D. Maitland Wright
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

D. Kölzow D. Maharam-Stone

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Azarnia, N., Maitland Wright, J.D. (1982). A non-commutative Pettis theorem. In: Kölzow, D., Maharam-Stone, D. (eds) Measure Theory Oberwolfach 1981. Lecture Notes in Mathematics, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096676

Download citation

  • DOI: https://doi.org/10.1007/BFb0096676

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11580-9

  • Online ISBN: 978-3-540-39324-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation