Advertisement

Sous-Harmonicité et Algèbres de Fonctions

  • Bernard Aupetit
Part of the Progress in Mathematics book series (PM, volume 4)

Abstract

Dans [13] (voir aussi [14], p. 132-140), J. Wermer a démontré le résultat suivant

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. [l]
    B. Aupetit, Caractérisation spectrale des algèbras de Banach de dimension finie. J. Functional Analysis 26 (1977), 232–250.CrossRefzbMATHMathSciNetGoogle Scholar
  2. [2]
    B. Aupetit, Propriétés spectrales des algèbres de Banach, Lecture notes in Mathematics no 735, Springer-Verlag, Heidelberg, 1979.zbMATHGoogle Scholar
  3. [3]
    B. Aupetit, Subharmonicity of spectral functions, à paraître.Google Scholar
  4. [4]
    B. Aupetit, and J. Wermer, Capacity and uniform algebras, J. Funetional Analysis 98 (1978), 386–400.Capacity and uniform algebras, J. Funetional Analysis., 98 (1978), 386-400.CrossRefMathSciNetGoogle Scholar
  5. [5]
    H. S. Baer and G.N. Hile, Analytic Structure in function algebras, Houston J. Math., à paraître.Google Scholar
  6. [6]
    R. Basener, A condition for analytic structure, Proc. Amer. Math. Soc. 36 (1972), 156–160.CrossRefzbMATHMathSciNetGoogle Scholar
  7. [7]
    B. Basener, A generalized Shilov boundary and analytic structure, Proc. Amer. Math. Soc. 47 (1975), 98–104.CrossRefzbMATHMathSciNetGoogle Scholar
  8. [8]
    E. Bishop, Holomorphic completions, analytic continuations and the interpolation of semi-norms, Ann. Math. 78 (1963), 468–500.CrossRefzbMATHGoogle Scholar
  9. [9]
    P. Jakóbczak, On the existence of analytic structure in the spectrum of a uniform algebra. Bull. Acad. Polonaise Sci., Sér. Math. Astr. Phys. 26 (1978).Google Scholar
  10. [10]
    D. Kumagai, Uniform algebras and subharmonic functions, Ph. D. thesis, Lehigh University, 1978.Google Scholar
  11. [11]
    N. Sibony, Multidimensional analytic structure in the spectrum of of a uniform algebra, in Spaces of analytic functions Seminar, Lecture Notes in Mathematics no 512, Springer-Verlag, Heidelberg, 1976, pp. 139–165.CrossRefGoogle Scholar
  12. [12]
    Z. Słodkowski, On subharmonicity of capacity. A paraître.Google Scholar
  13. [13]
    J. Wermer, Subharmonicity and hulls, Pacific J. Math. 58 (1975), 283–290.CrossRefzbMATHMathSciNetGoogle Scholar
  14. [14]
    J. Wermer, Banach algebras and several complex variables, 2nd edition. Springer-Verlag, New York, 1976.CrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Bernard Aupetit
    • 1
  1. 1.Département de MathématiquesUniversité LavalQuebecCanada

Personalised recommendations