Abstract:In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space $X$, in terms of their 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, pervasive (analytic, integrity domain, antisymmetric) function algebra, measure orthogonal to a function algebra
AMS Subject Classification: 46J10