Properties of function algebras in terms of their orthogonal measures
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 43-46.

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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 $X$.
Classification : 46J10
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
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     title = {Properties of function algebras in terms of their orthogonal measures},
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Čerych, Jan. Properties of function algebras in terms of their orthogonal measures. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 43-46. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a4/