| Title:
|
A generalisation of a theorem of Koldunov with an elementary proof (English) |
| Author:
|
Ercan, Zafer |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
187-190 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property. (English) |
| Keyword:
|
Riesz spaces (vector lattices) |
| Keyword:
|
Hammerstein property and disjointness preserving operators |
| MSC:
|
46A40 |
| MSC:
|
47B60 |
| MSC:
|
47H07 |
| MSC:
|
47H30 |
| idZBL:
|
Zbl 0954.46003 |
| idMR:
|
MR1676793 |
| . |
| Date available:
|
2009-09-24T10:21:22Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127478 |
| . |
| Reference:
|
[1] Z. Ercan and A. W. Wickstead: Towards a theory of non-linear orthomorphisms.Functional Analysis and Economic Theory, Springer, 1998, pp. 65–73. MR 1730120 |
| Reference:
|
[2] A. V. Koldunov: Hammerstein operators preserving disjointness.Proc. Amer. Math. Soc. 4 (1995), 1083–1095. Zbl 0827.47051, MR 1212284 |
| Reference:
|
[3] W. A. J. Luxemburg and A. C. Zaanen: Riesz Spaces 1.North-Holland, Amsterdam, 1971. |
| Reference:
|
[4] P. Meyer-Nieberg: Banach Lattices.Springer Universitest., Berlin, 1992. MR 1128093 |
| . |
