Gámez Merino, José LuisMuñoz-Fernández, Gustavo A.Pellegrino, DanielSeoane Sepúlveda, Juan Benigno2023-06-202023-06-202012-010024-379510.1016/j.laa.2011.06.050https://hdl.handle.net/20.500.14352/42358In this paper we prove a characterization of continuity for polynomials on a normed space. Namely, we prove that a polynomial is continuous if and only if it maps compact sets into compact sets. We also provide a partial answer to the question as to whether a polynomial is continuous if and only jilt transforms connected sets into connected sets. These results motivate the natural question as to how many non-continuous polynomials there are on an infinite dimensional normed space. A problem on the lineability of the sets of non-continuous polynomials and multilinear mappings on infinite dimensional normed spaces is answered.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0024379511005003http://www.sciencedirect.com/restricted access517.98Lineabilitycontinuous polynomialnon-continuous polynomialAnálisis funcional y teoría de operadores