Jan \v{C}erych
On essential sets of function algebras in terms of their orthogonal measures

Comment.Math.Univ.Carolinae 36,3 (1995) 471-474.

Abstract:In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space $X$ in terms of its orthogonal measures on $X$.

Keywords: compact Hausdorff space $X$, the sup-norm algebra $C(X)$ of all complex-valued continuous functions on $X$, its closed subalgebras (called function algebras), measure orthogonal to a function algebra
AMS Subject Classification: 46J10

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