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arXiv · 1803.07361

Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices

Gerard Buskes·Christopher Schwanke
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Abstract

We derive formulas for characterizing bounded orthogonally additive polynomials in two ways. Firstly, we prove that certain formulas for orthogonally additive polynomials derived in \cite{Kusa} actually characterize them. Secondly, by employing complexifications of the unique symmetric multilinear maps associated with orthogonally additive maps we derive new characterizing formulas.

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BibTeXRIS

Gerard Buskes, Christopher Schwanke. 2018-03-20. Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices. https://arxiv.org/abs/1803.07361

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