# A characterization of essential sets of function algebras

Archivum Mathematicum (2004)

- Volume: 040, Issue: 3, page 229-232
- ISSN: 0044-8753

## Access Full Article

top## Abstract

top## How to cite

topČerych, 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 -

## References

top- Complex function algebras, Trans. Amer. Math. Soc. 90 (1959), 383–393. Zbl0086.31602MR0107164
- Maximal algebras of continuous functions, Acta Math. 103 (1960), 217–241. MR0117540
- On essential sets of function algebras in terms of their orthogonal measures, Comment. Math. Univ. Carolin. 36, 3 (1995), 471–474. MR1364487

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.