Geodesic
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 $X$.
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 
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/
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     title = {Properties of function algebras in terms of their orthogonal measures},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {43--46},
     year = {1994},
     volume = {35},
     number = {1},
     mrnumber = {1292581},
     zbl = {0818.46060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_1_a4/}
}
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