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. 
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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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