Article contents
Commuting Dilations and Uniform Algebras
Published online by Cambridge University Press: 20 November 2018
Extract
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 = ∞.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1990
References
- 2
- Cited by