Villanueva Díez, IgnacioPalazuelos Cabezón, CarlosPeralta Pereira, Antonio Miguel2023-06-202023-06-202008-09Palazuelos, C., Villanueva Díez, I. & Peralta Pereira, A. M. «ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS». The Quarterly Journal of Mathematics, vol. 59, n.o 3, diciembre de 2007, pp. 363-74. DOI.org (Crossref), https://doi.org/10.1093/qmath/ham042.0033-560610.1093/qmath/ham042https://hdl.handle.net/20.500.14352/49455We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.engjournal articlehttps//doi.org/10.1093/qmath/ham042http://qjmath.oxfordjournals.org/open access517FunctionalsRepresentationTheoremSpacesAnálisis matemático1202 Análisis y Análisis Funcional