Pacific Journal of Mathematics

Analytic phenomena in general function algebras.

C. E. Rickart

Article information

Source
Pacific J. Math., Volume 18, Number 2 (1966), 361-377.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102994272

Mathematical Reviews number (MathSciNet)
MR0198279

Zentralblatt MATH identifier
0157.20402

Subjects
Primary: 46.55
Secondary: 32.49

Citation

Rickart, C. E. Analytic phenomena in general function algebras. Pacific J. Math. 18 (1966), no. 2, 361--377. https://projecteuclid.org/euclid.pjm/1102994272


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References

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  • [3] J. C. Holladay, Boundary conditions for algebras of continuous functions,Ph. D. Dissertation, Yale University (1953).
  • [4] Eva Kallin, A nonlocal function algebra, Proc. Nat. Acad. Sci. 49 (1963), 821-824.
  • [5] K. Oka, Sur les fonctions analytiquesde plusieurs variables, Iwanami Shoten, Tokyo, 1961.
  • [6] C. E. Rickart, General theory of Banach algebras, Van Nostrand, Princeton, (1960).
  • [7] C. E. Rickart, The singular elements of a Banach algebra, Duke Math. J. 14 (1947), 1063-1077.
  • [8] H. Rossi, The local maximummodulus principle, Ann. of Math. 72 (1960), 1-11.
  • [9] G. Stolzenberg, Polynomially and rationally convex sets, Acta Mathematica 109 (1963), 259-289.
  • [10] G. Stolzenberg, The maximal ideal space of the functions locally in a function algebra, Proc. Amer. Math. Soc. 14 (1963), 342-345.