On essential sets of function algebras in terms of their orthogonal measures

Jan Čerych

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 3, page 471-474
  • ISSN: 0010-2628

Abstract

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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 .

How to cite

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Čerych, Jan. "On essential sets of function algebras in terms of their orthogonal measures." Commentationes Mathematicae Universitatis Carolinae 36.3 (1995): 471-474. <http://eudml.org/doc/247747>.

@article{Čerych1995,
abstract = {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 $X$.},
author = {Čerych, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
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; essential set of a function algebra; orthogonal measures},
language = {eng},
number = {3},
pages = {471-474},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On essential sets of function algebras in terms of their orthogonal measures},
url = {http://eudml.org/doc/247747},
volume = {36},
year = {1995},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 3
SP - 471
EP - 474
AB - 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 $X$.
LA - eng
KW - 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; essential set of a function algebra; orthogonal measures
UR - http://eudml.org/doc/247747
ER -

References

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  1. Bear H.S., Complex function algebras, Trans. Amer. Math. Soc. 90 (1959), 383-393. (1959) Zbl0086.31602MR0107164
  2. Hoffman K., Singer I.M., Maximal algebras of continuous functions, Acta Math. 103 (1960), 217-241. (1960) Zbl0195.13903MR0117540

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