On essential sets of function algebras in terms of their orthogonal measures
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 471-474
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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 $X$.
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 $X$.
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); 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); measure orthogonal to a function algebra
@article{CMUC_1995_36_3_a7,
author = {\v{C}erych, Jan},
title = {On essential sets of function algebras in terms of their orthogonal measures},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {471--474},
year = {1995},
volume = {36},
number = {3},
mrnumber = {1364487},
zbl = {0836.46040},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1995_36_3_a7/}
}
TY - JOUR AU - Čerych, Jan TI - On essential sets of function algebras in terms of their orthogonal measures JO - Commentationes Mathematicae Universitatis Carolinae PY - 1995 SP - 471 EP - 474 VL - 36 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_1995_36_3_a7/ LA - en ID - CMUC_1995_36_3_a7 ER -
Čerych, Jan. On essential sets of function algebras in terms of their orthogonal measures. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 471-474. http://geodesic.mathdoc.fr/item/CMUC_1995_36_3_a7/