Semi-algebras in C(T)
Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 85-87

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Let C(T) be the Banach algebra of all complex-valued continuous functions on the compact set T of all complex numbers with modulus one. As usual we may suppose that A is embedded in C(T), where A is the disc algebra, i.e., the algebra of all complex-valued functions f(λ) continuous for |λ| ≦ 1. and analytic for |λ| < 1. We set Mλ = {f ∈ A: f(λ) = 0} and Mλ = {f ∈ A: f(λ) ≧ 0}.
Yood, Bertram. Semi-algebras in C(T). Glasgow mathematical journal, Tome 15 (1974) no. 1, pp. 85-87. doi: 10.1017/S0017089500002196
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