Abstract
The paper is devoted to the characterization and weighted shift representation of regular homogeneous polynomials between vector lattices admitting a decomposition into a sum of monomials in lattice homomorphisms. The main tool is the factorization theorem for order bounded disjointness preserving multilinear operators obtained earlier by the authors.
Citation
Zalina A. Kusraeva. "Monomial decomposition of homogeneous polynomials in vector lattices." Adv. Oper. Theory 4 (2) 428 - 446, Spring 2019. https://doi.org/10.15352/aot.1807-1394
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