RT Book, Section T1 Propiedades (BB)n y topologías en P(nE) A1 Martínez Ansemil, José María A1 Blasco Contreras, Fernando A1 Ponte Miramontes, María Del Socorro AB 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 PB Editorial Complutense SN 84-7491-767-0 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/53312 UL https://hdl.handle.net/20.500.14352/53312 LA spa DS Docta Complutense RD 20 abr 2025