
If an interior component Ω \Omega of a compact K ⊂ C K \subset {\mathbf {C}} is a part for R ( K ) R(K) , then given z 1 {z_1} , z 2 {z_2} in Ω \Omega and a representing measure λ 1 {\lambda _1} for z 1 {z_1} there is a representing measure for z 2 {z_2} equivalent to λ 1 {\lambda _1} .
Banach algebras of continuous functions, function algebras, Spaces of bounded analytic functions of one complex variable, Gleason part of a uniform algebra, representing measure
Banach algebras of continuous functions, function algebras, Spaces of bounded analytic functions of one complex variable, Gleason part of a uniform algebra, representing measure
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