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Let C(X) be the algebra of all K-valued continuous functions on a topological space X (withK = R or K = C) and C * (X) the subalgebra of bounded functions. This paper deals with subalgebras of C(X) containing C * (X). We prove that these subalgebras are exactly the rings of fractions of C * (X) with respect to multiplicatively closed subsets whose members are units of C(X)...
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