Monomial decomposition of homogeneous polynomials in vector lattices

Document Type: Original Article

Authors

Department of Functional Analysis, Southern Mathematical Institute of Vladikavkaz Scientific Centre of Russian Academy of Sciences, Vladikavkaz, Russia

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.

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