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Title: On essential sets of function algebras in terms of their orthogonal measures (English)
Author: Čerych, Jan
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 36
Issue: 3
Year: 1995
Pages: 471-474
Category: math
Summary: 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 $X$. (English)
Keyword: compact Hausdorff space $X$
Keyword: the sup-norm algebra $C(X)$ of all complex-valued continuous functions on $X$
Keyword: its closed subalgebras (called function algebras)
Keyword: measure orthogonal to a function algebra
MSC: 46J10
idZBL: Zbl 0836.46040
idMR: MR1364487
Date available: 2009-01-08T18:19:25Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Bear H.S.: Complex function algebras.Trans. Amer. Math. Soc. 90 (1959), 383-393. Zbl 0086.31602, MR 0107164
Reference: [2] Hoffman K., Singer I.M.: Maximal algebras of continuous functions.Acta Math. 103 (1960), 217-241. Zbl 0195.13903, MR 0117540


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