About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Ercan, Zafer
A generalisation of a theorem of Koldunov with an elementary proof. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 187-190
MSC: 46A40, 47B60, 47H07, 47H30 | MR 1676793 | Zbl 0954.46003
Keywords:
Riesz spaces (vector lattices); Hammerstein property and disjointness preserving operators
Summary:
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
References:
[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
[2] A. V. Koldunov: Hammerstein operators preserving disjointness. Proc. Amer. Math. Soc. 4 (1995), 1083–1095. MR 1212284 | Zbl 0827.47051
[3] W. A. J. Luxemburg and A. C. Zaanen: Riesz Spaces  1. North-Holland, Amsterdam, 1971.
[4] P. Meyer-Nieberg: Banach Lattices. Springer Universitest., Berlin, 1992. MR 1128093
Partner of
EuDML logo