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Keywords:
function algebra; generators; maximal ideal space
function algebra; generators; maximal ideal space
Summary:
Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
References:
[1] Th. Gamelin: Uniform Algebras. Prentice-Hall, Englewood Cliffs, N.J., 1969. MR 0410387 | Zbl 0213.40401
[2] J. B. Garnett: Bounded Analytic Functions. Academic Press, N.Y., 1981. MR 0628971 | Zbl 0469.30024
[3] P. J. de Paepe: Maximality in sequences of function algebras. Indag. Math. 41 (1979), 163–170. DOI 10.1016/S1385-7258(79)80011-6 | MR 0535564 | Zbl 0409.46059
[4] P. J. de Paepe and J. J. O. O. Wiegerinck: A note on pervasive function algebras. Czechoslovak Math. J. 41(116) (1991), 61–63. MR 1087623
[5] E. L. Stout: The Theory of Uniform Algebras. Bogden & Quigley, Tarrytown-on-Hudson, N.Y., 1971. MR 0423083 | Zbl 0286.46049
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