Geodesic
Homogeneous Orthogonally Additive Polynomials on Vector Lattices
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 704-710

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It is proved that an orthogonally additive order bounded homogeneous polynomial acting between uniformly complete vector lattices admits a representation in the form of the composition of a linear order bounded operator and a special homogeneous polynomial playing the role of a power-law function, which is absent in the vector lattice. This result helps to establish a criterion for the integral representability of an orthogonally additive homogeneous polynomial.
Keywords: vector lattice, relatively uniform convergence, linear order bounded operator, orthogonally additive order bounded homogeneous polynomial. 
Z. A. Kusraeva. Homogeneous Orthogonally Additive Polynomials on Vector Lattices. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 704-710. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a5/
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