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
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
@article{CMUC_1994_35_1_a4,
author = {\v{C}erych, Jan},
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/}
}
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/