%0 Book Section %T Propiedades (BB)n y topologías en P(nE) publisher Editorial Complutense %D 2004 %U 84-7491-767-0 %@ https://hdl.handle.net/20.500.14352/53312 %X Properties (BB)n, n = 2, 3, ... on a locally convex space (see the definition below) have been recently introduced ([10]). They are interesting, among other things, in connection with the study of natural topologies on spaces of polynomials, multilinear and holomorphic mappings. As it is proved in [1] there are Fr´echet spaces with the (BB)2 property but without the (BB)3 property. Here, for a given n = 3, ... we get an space without the property (BB)n+1 and study an equivalent condition for that space to have the (BB)n property %~