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General short exact sequence theorem for toeplitz operators of uniform algebras

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C*-Algebras and Applications to Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 650))

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References

  1. M. B. Abrahamse, Toeplitz operators on multiply-connected regions, Amer. J. Math., 96(1974), 261–297.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Bunce, The joint spectrum of commuting nonnormal operators, Proc. Amer. Math. Soc., 29(1971), 499–505.

    Article  MathSciNet  MATH  Google Scholar 

  3. L. A. Coburn, Toeplitz operators on odd spheres, Springer Lecture Notes, 345(1973), 7–12.

    MathSciNet  Google Scholar 

  4. L. A. Coburn and R. G. Douglas, C*-algebras of operators on a half-space I, IMES Publ. Math., 40(1971), 59–67.

    MathSciNet  MATH  Google Scholar 

  5. R. G. Douglas, Banach algebra techniques in the theory of Toeplitz operators, CBMS 15, Amer. Math. Soc., Providence, 1973.

    MATH  Google Scholar 

  6. I. Janas, Toeplitz operators related to certain domains in Cn, Studia Math., 54(1975), 73–79.

    MathSciNet  MATH  Google Scholar 

  7. J. Janas, Toeplitz operators for a certain class of function algebras, Studia Math., 55(1975), 157–161.

    MathSciNet  Google Scholar 

  8. H. Sato and K. Yabuta, Toeplitz operators on strongly pseudoconvex domains in Stein spaces, preprint.

    Google Scholar 

  9. W. F. Stinespring, Positive functions on C*-algebras, Proc. Amer. Math. Soc., 6(1955), 211–216.

    MathSciNet  MATH  Google Scholar 

  10. J. Tomiyama and K. Yabuta, Toeplitz operators for uniform algebras, to appear in Tôhoku Math. J.

    Google Scholar 

  11. U. Venugopalkrishna, Fredholm operators associated with strongly pseudo-convex domains in Cn, J. Functional Analysis, 9(1972), 349–372.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Yabuta, A remark to a paper of Janas; Toeplitz operators related to a certain domains in Cn, to appear.

    Google Scholar 

  13. W. Zelazko, On a problem concerning joint approximate point spectra, Studia Math., 45(1973), 239–240.

    MathSciNet  MATH  Google Scholar 

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© 1978 Springer-Verlag

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Tomiyama, J., Yabuta, K. (1978). General short exact sequence theorem for toeplitz operators of uniform algebras. In: Araki, H., Kadison, R.V. (eds) C*-Algebras and Applications to Physics. Lecture Notes in Mathematics, vol 650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067393

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  • DOI: https://doi.org/10.1007/BFb0067393

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  • Print ISBN: 978-3-540-08762-5

  • Online ISBN: 978-3-540-35850-3

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