| Title:
|
An evaluating characterization of homomorphisms (English) |
| Author:
|
Boulabiar, Karim |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2008 |
| Pages:
|
211-215 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This work provides an evaluating complete description of positive homomorphisms on an arbitrary algebra of real-valued functions. (English) |
| Keyword:
|
algebra of real-valued functions |
| Keyword:
|
evaluating linear functional |
| Keyword:
|
homomorphism |
| Keyword:
|
Lindelöf space |
| MSC:
|
46E25 |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 1212.46055 |
| idMR:
|
MR2462976 |
| . |
| Date available:
|
2009-01-29T09:14:57Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119760 |
| . |
| Reference:
|
[1] Biström, P., Bjon, S., Lindström, M.: Remarks on homomorphisms on certain subalgebras of $C( X) $.Math. Japon. 37 (1992), 105–109. Zbl 0798.46016, MR 1148522 |
| Reference:
|
[2] Blasco, J. L.: On the structure of positive homomorphisms on algebras of real-valued functions.Acta Math. Hungar. 102 (2004), 141–150. MR 2038174, 10.1023/B:AMHU.0000023212.91183.38 |
| Reference:
|
[3] Bonsall, F. F., Duncan, J.: Complete Normed Algebras.Springer Verlag, Berlin–Heidelberg–New York, 1973. Zbl 0271.46039, MR 0423029 |
| Reference:
|
[4] Garrido, I., Gómez, J., Jaramillo, J.: Homomorphisms on functions algebras.Canad. J. Math. 46 (1994), 734–745. MR 1289057, 10.4153/CJM-1994-041-3 |
| Reference:
|
[5] Gillman, L., Jerison, M.: Rings of Continuous Functions.Springer Verlag, Berlin–Heidelberg–New York, 1976. Zbl 0327.46040, MR 0407579 |
| Reference:
|
[6] Isbell, J.: Algebra of uniformly continuous functions.Ann. Math. 68 (1958), 96–125. MR 0103407, 10.2307/1970045 |
| Reference:
|
[7] Kriegl, A., Michor, P. W.: The Convenient Setting of Global Analysis.Math. Surveys Monogr., 1997. Zbl 0889.58001, MR 1471480 |
| Reference:
|
[8] Steen, L. A., Seebach, J. A.: Counterexamples in Topology.Springer Verlag, Berlin–Heidelberg–New York, 1978. Zbl 0386.54001, MR 0507446 |
| . |
