Abstract
We constructively prove a decomposition theorem for order bounded homogeneous orthogonally-additive polynomials on archimedean vector lattices. In this way, we constructively generalize results of Sundaresan (1991), D. Pérez-Garcia, and I. Villanueva, (2005), Y. Benyamini, S. Lassalle and J.~L.~G.~Llavona (2006), D. Carando, S. Lassalle and I. Zalduendo (2006 and 2012).
Citation
Mohamed Ali Toumi. "A decomposition of orthogonally additive polynomials on archimedean vector lattices." Bull. Belg. Math. Soc. Simon Stevin 20 (4) 621 - 638, october 2013. https://doi.org/10.36045/bbms/1382448184
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