Villanueva Díez, IgnacioBombal Gordon, Fernando2023-06-202023-06-202003-06-01Bombal Gordon, F. & Villanueva Díez, I. «Polynomial Sequential Continuity on C(K,E) Spaces». Journal of Mathematical Analysis and Applications, vol. 282, n.o 1, junio de 2003, pp. 341-55. DOI.org (Crossref), https://doi.org/10.1016/S0022-247X(03)00161-6.0022-247X10.1016/S0022-247X(03)00161-6https://hdl.handle.net/20.500.14352/49444We show that, for bounded sequences in C(K,E), the polynomial sequential convergence is not equivalent to the pointwise polynomial sequential convergence. We introduce several conditions on E under which different versions of the result are true when K is a scattered compact space. These conditions are related with some others appeared in the literature and they seem to be of independent interest.engjournal articlehttps//doi.org/10.1016/S0022-247X(03)00161-6http://www.sciencedirect.com/science/journal/0022247Xopen access517Polynomial sequential continuityC(KE) spacesAnálisis matemático1202 Análisis y Análisis Funcional