Villanueva Díez, IgnacioPérez García, David2023-06-202023-06-202005-06-01Pérez García, D. & Villanueva Díez, I. «Orthogonally Additive Polynomials on Spaces of Continuous Functions». Journal of Mathematical Analysis and Applications, vol. 306, n.o 1, junio de 2005, pp. 97-105. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2004.12.036.0022-247X10.1016/j.jmaa.2004.12.036https://hdl.handle.net/20.500.14352/49451We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a related result of Sundaresam for polynomials on L-p spaces.engjournal articlehttps//doi.org/10.1016/j.jmaa.2004.12.036http://www.sciencedirect.com/science/journal/0022247Xopen access517Spaces of continuous functionsOrthogonally additivePolynomialsRepresentationTheoremAnálisis matemático1202 Análisis y Análisis Funcional