Abstract
The branching points of the spectrum of an algebraic extension of a uniform algebra A are algebraically described, and the so-called A-index of branching of such points is introduced and studied. The description of the character of branching in terms of local point derivations on the algebraic extension is obtained.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. A. Lindberg, Trans. Amer. Math. Soc., 112, 356–368 (1964).
J. A. Lindberg, Pacif. J. Math., 14, 559–583 (1964).
T. W. Gamelin, Uniform Algebras, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1969.
E. Kallin, Proc. Nat. Acad. Sci., 49, 821–824 (1963).
B. T. Batikyan and E. A. Gorin, Zap. Nauchn. Sem. Leningrad. Otdel. Inst. Mat. Steklov. (LOMI) 65, 172–177 (1976).
J. Verdera, Pacif. J. Math., 100, 203–215 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Batikyan, B.T. On the Branching Points of the Spectrum of an Algebraic Extension of a Uniform Algebra. Functional Analysis and Its Applications 36, 148–150 (2002). https://doi.org/10.1023/A:1015626708749
Issue Date:
DOI: https://doi.org/10.1023/A:1015626708749