Geodesic
Commuting Dilations and Uniform Algebras
Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 776-789

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a compact Hausdorff space, let C(X) be the algebra of complex-valued continuous functions on X, and let A be a uniform algebra on X. Fix a nonzero complex homomorphism τ on A and a representing measure m for τ on X. The abstract Hardy space Hp = Hp (m), 1 ≤ p ≤ ∞, determined by A is defined to the closure of Lp = Lp (m) when p is finite and to be the weak*-closure of A in L ∞ = L ∞(m) p = ∞. 
Nakazi, Takahiko. Commuting Dilations and Uniform Algebras. Canadian journal of mathematics, Tome 42 (1990) no. 5, pp. 776-789. doi: 10.4153/CJM-1990-041-1
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