Floret, Klaus; García, Domingo On ideals of polynomials and multilinear mappings between Banach spaces. (English) Zbl 1049.46030 Arch. Math. 81, No. 3, 300-308 (2003). It is shown that for every quasi-normed ideal \({\mathcal Q}\) of \(n\)-homogeneous continuous polynomials between Banach spaces, there is a quasi-normed ideal \({\mathcal A}\) of \(n\)-linear continuous mappings such that \(q \in {\mathcal Q}\) if and only if the associated \(n\)-linear mapping \(\check{q}\) of \(q\) is in \({\mathcal A}\). Completeness, maximality, and minimality of the ideals are preserved under the given construction. Reviewer: Heinz Junek (Potsdam) Cited in 33 Documents MSC: 46G25 (Spaces of) multilinear mappings, polynomials 47H60 Multilinear and polynomial operators Keywords:ideals of polynomials; ideals of \(n\)-linear mappings; symmetric ideals PDFBibTeX XMLCite \textit{K. Floret} and \textit{D. García}, Arch. Math. 81, No. 3, 300--308 (2003; Zbl 1049.46030) Full Text: DOI