Llavona, José G.Gutiérrez, Joaquín M.2023-06-202023-06-2019970021-217210.1007/BF02773798https://hdl.handle.net/20.500.14352/57510A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. Every compact (linear) operator is polynomially continuous. We prove that every polynomially continuous operator is weakly compact.engjournal articlehttp://www.springerlink.com/content/67414688531p4130/fulltext.pdfhttp://www.springerlink.com/restricted access517.9SpaceAnálisis funcional y teoría de operadores