Geodesic
A generalisation of a theorem of Koldunov with an elementary proof
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 187-190 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
Classification : 46A40, 47B60, 47H07, 47H30
Keywords: Riesz spaces (vector lattices); Hammerstein property and disjointness preserving operators 
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Ercan, Zafer. A generalisation of a theorem of Koldunov with an elementary proof. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 1, pp. 187-190. http://geodesic.mathdoc.fr/item/CMJ_1999_49_1_a17/

[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

[2] A. V. Koldunov: Hammerstein operators preserving disjointness. Proc. Amer. Math. Soc. 4 (1995), 1083–1095. | MR | Zbl

[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