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Extension of results from several complex variables to general function algebras

  • Banach Algebras and Applications
  • Conference paper
  • First Online:
Lectures in Modern Analysis and Applications I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 103))

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Bibliography

  1. R. Arens. The problem of locally A-functions in a commutative Banach algebra A. Trans. Amer. Math. Soc. 104 (1962), 24–36.

    MathSciNet  MATH  Google Scholar 

  2. R. Arens and A. P. Calderon. Analytic Functions of several Banach algebra elements. Ann. of Math. 62 (1955), 204–216.

    Article  MathSciNet  MATH  Google Scholar 

  3. I. Glicksberg. Maximal algebras and a theorem of Rado. Pacific J. Math. 14 (1964), 919–941.

    Article  MathSciNet  Google Scholar 

  4. R. C. Gunning and H. Rossi. Analytic Functions of Several Complex Variables. Prentice-Hall, Englewood Cliffs, N. J., 1965.

    MATH  Google Scholar 

  5. L. Hörmander. An Introduction to Complex Analysis in Several Variables. D. Van Nostrand Co., Princeton, N. J., 1966.

    MATH  Google Scholar 

  6. K. Oka. Sur les functions analytiques de plusieures variables Iwanami Shoten, Tokyo, 1961.

    Google Scholar 

  7. C. E. Rickart. General Theory of Banach Algebras. D. Van Nostrand Co., Princeton, N. J., 1960.

    MATH  Google Scholar 

  8. -. Analytic phenomena in general function algebras. Pacific J. Math. 18 (1966), 361–377.-C. E. Rickart Proc. Tulane Symposium on Function Algebras (pp. 61–64) (F. Birtel, Editor), Scott, Foresman and Co., Chicago, Ill., 1966.

    Article  MathSciNet  MATH  Google Scholar 

  9. -. The maximal ideal space of functions locally approximable in a function algebra. Proc. Amer. Math. Soc. 17 (1966), 1320–1326.

    Article  MathSciNet  MATH  Google Scholar 

  10. -C. E. Rickart. Holomorphic convexity in general function algebras. Canadian J. Math. (To appear).

    Google Scholar 

  11. -C. E. Rickart. Analytic functions of an infinite number of variables. (Submitted for publication.)

    Google Scholar 

  12. H. Rossi. The local maximum modulus principle. Ann. of Math. 72 (1960), 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  13. G. Stolzenberg. A hull with no analytic structure. Journal of Math. and Mech. 12 (1963), 103–112.

    MathSciNet  MATH  Google Scholar 

  14. -. Polynomially and rationally convex sets. Acta Math. 109 (1963), 259–289.

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. C. E. Rickart
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Editor information

C. T. Taam

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© 1969 Springer-Verlag

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Rickart, C.E. (1969). Extension of results from several complex variables to general function algebras. In: Taam, C.T. (eds) Lectures in Modern Analysis and Applications I. Lecture Notes in Mathematics, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099984

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  • DOI: https://doi.org/10.1007/BFb0099984

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04622-6

  • Online ISBN: 978-3-540-36145-9

  • eBook Packages: Springer Book Archive

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