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Lectures in modern analysis and applications II pp 8–29Cite as

Some analytic methods in the theory of operator algebras

  • Analysis And Representation Theory
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 140))

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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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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 

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Authors and Affiliations

  1. University of Pennsylvania, Philadelphia, Pennsylvania

    Richard V. Kadison

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  1. Richard V. Kadison
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C. T. Taam

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© 1970 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04929-6

  • Online ISBN: 978-3-540-36298-2

  • eBook Packages: Springer Book Archive

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