| Title:
|
A characterization of essential sets of function algebras (English) |
| Author:
|
Čerych, Jan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
229-232 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $E$. (English) |
| Keyword:
|
compact Hausdorff space $X$ |
| Keyword:
|
the sup-norm algebra $C(X)$ of all complex-valued continuous functions on $X$ |
| Keyword:
|
its closed subalgebras (called function algebras) |
| Keyword:
|
measure orthogonal to a function algebra |
| MSC:
|
46J10 |
| idZBL:
|
Zbl 1115.46041 |
| idMR:
|
MR2107017 |
| . |
| Date available:
|
2008-06-06T22:43:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107905 |
| . |
| Reference:
|
[1] Bear, H. S.: Complex function algebras.Trans. Amer. Math. Soc. 90 (1959), 383–393. Zbl 0086.31602, MR 0107164 |
| Reference:
|
[2] Hoffman, K., Singer, I. M.: Maximal algebras of continuous functions.Acta Math. 103 (1960), 217–241. MR 0117540 |
| Reference:
|
[3] Čerych, J.: On essential sets of function algebras in terms of their orthogonal measures.Comment. Math. Univ. Carolin. 36, 3 (1995), 471–474. MR 1364487 |
| . |
