Commuting Dilations and Uniform Algebras
1990 ◽
Vol 42
(5)
◽
pp. 776-789
◽
Keyword(s):
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 = ∞.
1966 ◽
Vol 62
(4)
◽
pp. 649-666
◽
1978 ◽
Vol 30
(03)
◽
pp. 490-498
◽
1969 ◽
Vol 21
◽
pp. 751-754
◽
1994 ◽
Vol 05
(02)
◽
pp. 201-212
◽
Keyword(s):
1971 ◽
Vol 23
(3)
◽
pp. 468-480
◽
Keyword(s):