Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices
Functional Analysis
2018-03-21 v1
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.
Cite
@article{arxiv.1803.07361,
title = {Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices},
author = {Gerard Buskes and Christopher Schwanke},
journal= {arXiv preprint arXiv:1803.07361},
year = {2018}
}