Monomial decomposition of homogeneous polynomials in vector lattices (Q1714438)
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scientific article; zbMATH DE number 7009318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monomial decomposition of homogeneous polynomials in vector lattices |
scientific article; zbMATH DE number 7009318 |
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Monomial decomposition of homogeneous polynomials in vector lattices (English)
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31 January 2019
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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.
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vector lattice
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multilinear operator
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homogeneous polynomial
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factorization
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