Monomial decomposition of homogeneous polynomials in vector lattices
This paper is inspired by the two papers [\textit{D. C. Carothers} and \textit{W. A. Feldman}, J. Oper. Theory 24, No. 2, 337--349 (1990; Zbl 0784.47041)] and [\textit{S. J. Bernau} et al., Proc. Am. Math. Soc. 115, No. 1, 151--156 (1992; Zbl 0780.46004)]. The authors generalize the available results to the multilinear case and find some necessary and sufficient conditions for a homogeneous polynomial between vector lattices to be a linear combination of monomials in lattice homomorphisms.
scientific article; zbMATH DE number 7009318
scientific article