On ordered spaces of polynomials Original Research Article

On ordered spaces of polynomials Original Research Article 199-203 Gerd Herzog, Roland Lemmert Close Close preview | Purchase PDF (60 K) | Related articles | Related reference work articles AbstractAbstract | ReferencesReferences Abstract We study quasimonotone increasing linear mappings in finite-dimensional spaces of real polynomials, ordered by the cone of nonnegative polynomials on image. In particular, we prove a representation of the space of quasimonotone increasing and decreasing operators, which turns out to have dimension 3 or 4.