Skip to main content

Some analytic methods in the theory of operator algebras

Analysis And Representation Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 140)

Keywords

  • Operator Algebra
  • Unitary Group
  • Norm Continuity
  • Derivation Theorem
  • Schwarz Reflection Principle

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.99
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. H. Araki, On the algebra of all local observables, Res. Inst. Math. Sci. Kyoto, No. 5 (1964), pp. 1–16.

    Google Scholar 

  2. R. Boas, Entire Functions, Academic Press Inc., New York, 1954.

    MATH  Google Scholar 

  3. H. Borchers, Energy and momentum as observables in quantum field theory, Commun. Math. Phys., 2(1966), pp. 49–54.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. G. Dell'Antonio, On some groups of automorphisms of physical observables, Commun. Math. Phys., 2(1966), pp. 384–397.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. N. Dunford and J. Schwartz, Linear Operators, Part I, Interscience Publishers Inc., New York, 1958.

    MATH  Google Scholar 

  6. R. Kadison, Derivations of operator algebras, Ann. of Math., 83(1966), pp. 280–293.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R. Kadison and J. Ringrose, Derivations of operator group algebras, Amer. J. Math., 88(1966), pp. 562–576.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. R. Kadison and J. Ringrose, Derivations and automorphisms of operator algebras, Commun. Math. Phys., 4(1967), pp. 32–63.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. J. von Neumann, Zur Algebra der Funktionaloperationen und Theorie der Normalen Operatoren, Math. Ann., 102(1929), pp. 370–427.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H. Reeh and S. Schlieder, Bemerkungen zur Unitäräquivalenz von Lorentzinvarianten Feldern, Nuovo Cimento, 22(1961), p. 1051.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. S. Sakai, Derivations of W*-algebras, Ann. of Math., 83(1966), pp. 273–279.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. I. Segal, Decompositions of operator algebras II, Memoirs Amer. Math. Soc., no. 9(1951), pp. 1–66.

    Google Scholar 

  13. R. Streater and A. Wightman, PCT, Spin & Statistics, And All That, W. A. Benjamin Inc., New York, 1964.

    MATH  Google Scholar 

  14. M. Stone, On one parameter unitary groups in Hilbert space, Ann. of Math., 33(1932), pp. 643–648.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. E. Titchmarsh, The Theory of Functions, Oxford Univ., London 1939.

    MATH  Google Scholar 

  16. A. Wightman, La thèorie quantique locale et la théorie quantique des champs, Ann. Inst. Henri Poincaré, 1(1964), pp. 403–420.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1970 Springer-Verlag

About this paper

Cite this paper

Kadison, R.V. (1970). Some analytic methods in the theory of operator algebras. In: Taam, C.T. (eds) Lectures in modern analysis and applications II. Lecture Notes in Mathematics, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100064

Download citation

  • DOI: https://doi.org/10.1007/BFb0100064

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04929-6

  • Online ISBN: 978-3-540-36298-2

  • eBook Packages: Springer Book Archive