Geodesic
The Maximal Ideal Space of H ∞ + C on the ball in Cn
Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 79-86

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Let S denote the unit sphere in C n , B the (open) unit ball in C n and H∞(B) the collection of all bounded holomorphic functions on B. For f ∈ H∞(B) the limits exist for almost every ζ in S, and the map ƒ → ƒ* defines an isometric isomorphism from H∞(B) onto a closed subalgebra of L∞(S), denoted H∞(S). (The only measure on S we will refer to in this paper is the Lebesgue measure, dσ, generated by Euclidean surface area.) Rudin has shown in [4] that the spaces H∞(B) + C(B) and H∞(S) + C(S) are Banach algebras in the sup norm. In this paper we will show that the maximal ideal space of H∞(B) + C(B), Σ (H∞(B) + C(B)), is naturally homeomorphic to Σ (H∞(B)) and that Z (H∞(S) + C(S)) is naturally homeomorphic to Σ (H∞(S))\B. 
Mcdonald, Gerard. The Maximal Ideal Space of H ∞ + C on the ball in Cn. Canadian journal of mathematics, Tome 31 (1979) no. 1, pp. 79-86. doi: 10.4153/CJM-1979-009-6
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