| Title:
|
Closed ideals in topological algebras: a characterization of the topological $\Phi$-algebra $C_k(X)$ (English) |
| Author:
|
Montalvo, F. |
| Author:
|
Pulgarín, A. A. |
| Author:
|
Requejo, B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
903-918 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $A$ be a uniformly closed and locally m-convex $\Phi $-algebra. We obtain internal conditions on $A$ stated in terms of its closed ideals for $A$ to be isomorphic and homeomorphic to $C_k(X)$, the $\Phi $-algebra of all the real continuous functions on a normal topological space $X$ endowed with the compact convergence topology. (English) |
| Keyword:
|
locally m-convex algebra |
| Keyword:
|
$\Phi $-algebra |
| Keyword:
|
compact convergence topology |
| MSC:
|
06B30 |
| MSC:
|
46H05 |
| MSC:
|
46H15 |
| MSC:
|
54H12 |
| MSC:
|
54H13 |
| idZBL:
|
Zbl 1164.46339 |
| idMR:
|
MR2261662 |
| . |
| Date available:
|
2009-09-24T11:39:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128115 |
| . |
| Reference:
|
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| . |
