| Title:
|
Examples of infinitely generated function algebras (English) |
| Author:
|
de Paepe, P. J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2003 |
| Pages:
|
77-81 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given. (English) |
| Keyword:
|
function algebra |
| Keyword:
|
generators |
| Keyword:
|
maximal ideal space |
| MSC:
|
46J10 |
| idZBL:
|
Zbl 1014.46020 |
| idMR:
|
MR1962000 |
| . |
| Date available:
|
2009-09-24T10:59:19Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127782 |
| . |
| Reference:
|
[1] Th. Gamelin: Uniform Algebras.Prentice-Hall, Englewood Cliffs, N.J., 1969. Zbl 0213.40401, MR 0410387 |
| Reference:
|
[2] J. B. Garnett: Bounded Analytic Functions.Academic Press, N.Y., 1981. Zbl 0469.30024, MR 0628971 |
| Reference:
|
[3] P. J. de Paepe: Maximality in sequences of function algebras.Indag. Math. 41 (1979), 163–170. Zbl 0409.46059, MR 0535564, 10.1016/S1385-7258(79)80011-6 |
| Reference:
|
[4] P. J. de Paepe and J. J. O. O. Wiegerinck: A note on pervasive function algebras.Czechoslovak Math. J. 41(116) (1991), 61–63. MR 1087623 |
| Reference:
|
[5] E. L. Stout: The Theory of Uniform Algebras.Bogden & Quigley, Tarrytown-on-Hudson, N.Y., 1971. Zbl 0286.46049, MR 0423083 |
| . |
