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Almost commuting algebras

Part of the Lecture Notes in Mathematics book series (LNM,volume 575)

Keywords

  • Essential Spectrum
  • Trace Class
  • Determine Function
  • Partial Isometry
  • Principal Function

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References

  1. M. Breuer, Fredholm theories in von Neumann algebras I and II, Math. Ann. 178 (1968), 243–254 and 180 (1969), 313–325.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. Carey and J. Pincus, Construction of seminormal operators with prescribed mosaic, Indiana Univ. Math. J. 23 (1974), 1155–1165.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. _____, Mosaics, principal functions and mean motion in von Neumann algebras, to appear in Acta Mathematica.

    Google Scholar 

  4. _____, An invariant for certain operator algebras, Proc. Nat. Acad. Sci. 71 (1974), 1952–1956.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. _____, Commutators, symbols and determining functions, J. Functional Analysis, 19 (1975), 50–80.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. _____, The structure of intertwining partial isometries II, to appear.

    Google Scholar 

  7. J. W. Helton and R. E. Howe, (1973), Integral operators, commutator traces, index and homology, Proc. of a conference on operator theory, Springer-Verlag Lecture Notes No. 345.

    Google Scholar 

  8. T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.

    MATH  Google Scholar 

  9. M. G Krein, Perturbation determinants and a formula for traces of unitary and self-adjoint operators, Dokl. Akad. Nauk. SSSR 144 (1962), 268–271.

    MathSciNet  Google Scholar 

  10. J. D. Pincus, Commutators and systems of singular integral equations, I, Acta. Math. 121 (1968), 219–249.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. _____, On the trace of commutators in the algebra of operators generated by an operator with trace class self-commutator, unpublished preprint, dated August, 1972.

    Google Scholar 

  12. _____, Symmetric singular integral operators, Indiana Univ. Math. J. 23 (1973), 537–556.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. J. D. Pincus and J. Rovnyak, A spectral theory for some unbounded self-adjoint singular integral operators, Amer. J. Math. 91 (1969) 619–636.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. J. D. Pincus, Symmetric singular integral operators with arbitrary deficiency, to appear in Advances in Mathematics,.M.G. Krein Anniversary Issue).

    Google Scholar 

  15. _____, The determining function method in the treatment of commutator systems, Colloquia Math. Soc., Janos Bolyai5, Hilbert Space Operators, 1970.

    Google Scholar 

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© 1977 Springer-Verlag Berlin · Heidelberg

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Carey, R.W., Pincus, J.D. (1977). Almost commuting algebras. In: Morrel, B.B., Singer, I.M. (eds) K-Theory and Operator Algebras. Lecture Notes in Mathematics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095699

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  • DOI: https://doi.org/10.1007/BFb0095699

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08133-3

  • Online ISBN: 978-3-540-37423-7

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