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Annali di Matematica Pura ed Applicata

, Volume 86, Issue 1, pp 61–77 | Cite as

The theory of analytic functions in commutative banach algebras with involution

  • Barnett W. Glickfeld
Article

Keywords

Analytic Function Banach Algebra Commutative Banach Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Bibliography

  1. [1]
    E. Berkson,Some characterizations of C*-algebras, Illinois J. Math. vol. 10 (1966), pp. 1–8.zbMATHMathSciNetGoogle Scholar
  2. [2]
    E. K. Blum,A theory of analytic functions in Banach algebras, Trans. Amer. Soc., vol. 78 (1955), pp. 343–370.CrossRefzbMATHMathSciNetGoogle Scholar
  3. [3]
    B. W. Glickfeld,A metric characterization of C(X) and its generalization to C*-algebras, Illinois J. Math., vol. 10 (1966), pp. 547–556.zbMATHMathSciNetGoogle Scholar
  4. [4]
    —— ——,The Riemann sphere of a commutative Banach algebra, Trans. Amer. Math. Soc., vol. 134 (1968), pp. 1–28.CrossRefzbMATHMathSciNetGoogle Scholar
  5. [5]
    J. Dieudonne,Foundations of modern analysis, Academic press, New York, 1960.zbMATHGoogle Scholar
  6. [6]
    E. Heinz,Ein v. Neumannscher Satz uber beschränkte Operatoren im Hilbertschen Raum, Göttinger Nachr. 1952, pp. 5–6.Google Scholar
  7. [7]
    E. Hille andR. S. Phillips,Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ., vol. 31, rev. ed, Amer. Math. Soc., Providence, R.I., 1957.Google Scholar
  8. [8]
    M. Kerner,Die Differentiale in der allgemeinen Analysis, Annals of Math., vol. 34, 1933, pp. 546–572.CrossRefzbMATHMathSciNetGoogle Scholar
  9. [9]
    E R. Lorch,The theory of analytic functions in normed abelian vector rings, Trans. Amer. Math. Soc., vol. 54, (1943), pp. 414–425.CrossRefzbMATHMathSciNetGoogle Scholar
  10. [10]
    —— ——,The structure of normed abelian rings, Bull. Amer. Math. Soc., vol. 50, (1944), pp. 447–463.zbMATHMathSciNetGoogle Scholar
  11. [11]
    —— ——,Normed rings-the first decade, Proc. Symposium on spectral theory and differential problems, Oklahoma A & M, Stillwater, Okla., 1955, pp. 249–258.Google Scholar
  12. [12]
    —— ——,Spectral theory, Oxford University Press, New York, 1962.zbMATHGoogle Scholar
  13. [13]
    F. Riesz andB. Sz.-Nagy,Functional Analysis, Ungar, New York, 1955.Google Scholar
  14. [14]
    A. E. Taylor,Analysis in complex Banach space, Bull. A.M.S., vol. 49, 1943, pp. 652–669.zbMATHCrossRefGoogle Scholar

Copyright information

© Nicola Zanichelli Editore 1970

Authors and Affiliations

  • Barnett W. Glickfeld
    • 1
  1. 1.SeattleU.S.A.

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