| Title:
|
Properties 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:
|
35 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
43-46 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $X$. (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:
|
pervasive (analytic |
| Keyword:
|
integrity domain |
| Keyword:
|
antisymmetric) function algebra |
| Keyword:
|
measure orthogonal to a function algebra |
| MSC:
|
46J10 |
| idZBL:
|
Zbl 0818.46060 |
| idMR:
|
MR1292581 |
| . |
| Date available:
|
2009-01-08T18:08:33Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118639 |
| . |
| Reference:
|
[1] Helson H., Quigley F.: Maximal algebras of continuous functions.Proc. Amer. Math. Soc. 8 (1957), 111-114. Zbl 0078.29004, MR 0084732 |
| Reference:
|
[2] Hoffman K., Singer I.M.: Maximal algebras of continuous functions.Acta Math. 103 (1960), 217-241. Zbl 0195.13903, MR 0117540 |
| Reference:
|
[3] Čerych J.: A word on pervasive function spaces.Conference. Complex Analysis and Applications '80, Sofia, 1984, pp. 107-109. MR 0883224 |
| . |
