# Properties of function algebras in terms of their orthogonal measures

Commentationes Mathematicae Universitatis Carolinae (1994)

- Volume: 35, Issue: 1, page 43-46
- ISSN: 0010-2628

## Access Full Article

top## Abstract

top## How to cite

topČerych, Jan. "Properties of function algebras in terms of their orthogonal measures." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 43-46. <http://eudml.org/doc/247583>.

@article{Čerych1994,

abstract = {In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space $X$, in terms of their 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; pervasive (analytic; integrity domain; antisymmetric) function algebra; measure orthogonal to a function algebra; compact Hausdorff space; pervasive function algebra; antisymmetric function algebra; orthogonal measure; function algebra; annihilating measures; restriction algebra},

language = {eng},

number = {1},

pages = {43-46},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Properties of function algebras in terms of their orthogonal measures},

url = {http://eudml.org/doc/247583},

volume = {35},

year = {1994},

}

TY - JOUR

AU - Čerych, Jan

TI - Properties of function algebras in terms of their orthogonal measures

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1994

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 35

IS - 1

SP - 43

EP - 46

AB - In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space $X$, in terms of their 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; pervasive (analytic; integrity domain; antisymmetric) function algebra; measure orthogonal to a function algebra; compact Hausdorff space; pervasive function algebra; antisymmetric function algebra; orthogonal measure; function algebra; annihilating measures; restriction algebra

UR - http://eudml.org/doc/247583

ER -

## References

top- Helson H., Quigley F., Maximal algebras of continuous functions, Proc. Amer. Math. Soc. 8 (1957), 111-114. (1957) Zbl0078.29004MR0084732
- Hoffman K., Singer I.M., Maximal algebras of continuous functions, Acta Math. 103 (1960), 217-241. (1960) Zbl0195.13903MR0117540
- Čerych J., A word on pervasive function spaces, Conference. Complex Analysis and Applications '80, Sofia, 1984, pp. 107-109. MR0883224

## NotesEmbed ?

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