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
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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
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