| Title:
|
On essential sets of function algebras in terms of their orthogonal measures (English) |
| Author:
|
Čerych, Jan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
471-474 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present note, we characterize the essential set of a function algebra defined on a compact Hausdorff space $X$ in terms of its orthogonal measures on $X$. (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 0836.46040 |
| idMR:
|
MR1364487 |
| . |
| Date available:
|
2009-01-08T18:19:25Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118775 |
| . |
| 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. Zbl 0195.13903, MR 0117540 |
| . |
