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Weak-star closed algebras containingR (K)

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References

  1. E. Bishop, Analyticity in certain Banach algebras. Trans. Amer. Math. Soc.102, 507–544 (1962).

    MathSciNet  MATH  Google Scholar 

  2. B. Cole andT. Gamelin, Weak-star continuous homomorphisms and a decomposition of orthogonal measures. Ann. Institut Fourier35, 149–189 (1985).

    Article  MathSciNet  Google Scholar 

  3. J.Conway, Subnormal Operators. Research Notes in Mathematics51, London 1981.

  4. J. Dudziak, The minimal normal extension problem for subnormal operators. J. Funct. Anal.65, 314–338 (1986).

    Article  MathSciNet  Google Scholar 

  5. T. Gamelin, Localization of the corona problem. Pacific J. Math.34, 73–81 (1970).

    Article  MathSciNet  Google Scholar 

  6. T. Gamelin, The Shilov boundary ofH ∞(U), Amer. J. Math.96, 79–103 (1974).

    Article  MathSciNet  Google Scholar 

  7. T.Gamelin, Uniform Algebras, Second Edition. New York 1984.

  8. T. Gamelin, Lectures onH ∞(D). Notas de Matemática, Universidád Nacional de La Plata, Argentina 1972.

    Google Scholar 

  9. T. Gamelin andJ. Garnett, Bounded approximation by rational functions. Pacific J. Math.45, 129–150 (1973).

    Article  MathSciNet  Google Scholar 

  10. T.Gamelin, P.Russo and J.Thomson, A Stone-Weierstrass theorem for weak-star approximation by rational functions. To appear.

  11. I. Glicksberg, Equivalence of certain representing measures. Proc. Amer. Math. Soc.82, 374–376 (1981).

    Article  MathSciNet  Google Scholar 

  12. K.Hoffmann, Banach Spaces of Analytic Functions. Englewood Cliffs 1962.

  13. W. Rudin, Analyticity and the maximum modulus principle. Duke Math. J.20, 449–458 (1953).

    Article  MathSciNet  Google Scholar 

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  1. T. W. Gamelin

    Present address: Department of Mathematics, University of California at Los Angeles, 90024, Los Angeles, California, USA

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    1. T. W. Gamelin
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    Supported in part by NSF grant. The author is grateful for support during preparation of this paper by the University of Washington and by the Alexander von Humboldt Foundation and the Universität des Saarlandes.

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    Gamelin, T.W. Weak-star closed algebras containingR (K) . Arch. Math 52, 75–81 (1989). https://doi.org/10.1007/BF01197975

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