Ideals and Subalgebras of a Function Algebra
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 405-411

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Let X be a compact Hausdorff space and C(X) the set of all continuous complex-valued functions on X. A function algebra A on X is a uniformly closed, point separating subalgebra of C(X) which contains the constants. Equipped with the sup-norm, A becomes a Banach algebra. We let MA denote the maximal ideal space and SA the Shilov boundary.
Lund, Bruce. Ideals and Subalgebras of a Function Algebra. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 405-411. doi: 10.4153/CJM-1974-041-4
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