A characterization of essential sets of function algebras

Čerych, Jan. "A characterization of essential sets of function algebras." Archivum Mathematicum 040.3 (2004): 229-232. <http://eudml.org/doc/249302>.

@article{Čerych2004,
abstract = {In the present note, we characterize the essential set $E$ of a function algebra $A$ defined on a compact Hausdorff space $X$ in terms of local properties of functions in $A$ at the points off $E$.},
author = {Čerych, Jan},
journal = {Archivum Mathematicum},
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; function algebra; essential set},
language = {eng},
number = {3},
pages = {229-232},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A characterization of essential sets of function algebras},
url = {http://eudml.org/doc/249302},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Čerych, Jan
TI - A characterization of essential sets of function algebras
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 3
SP - 229
EP - 232
AB - In the present note, we characterize the essential set $E$ of a function algebra $A$ defined on a compact Hausdorff space $X$ in terms of local properties of functions in $A$ at the points off $E$.
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; function algebra; essential set
UR - http://eudml.org/doc/249302
ER -