Characterizing Bounded Orthogonally Additive Polynomials on Vector Lattices
classification
🧮 math.FA
keywords
additiveorthogonallycharacterizingformulaspolynomialsboundedderivemaps
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.