Martínez Ansemil, José MaríaBlasco Contreras, FernandoPonte Miramontes, María Del Socorro2023-06-202023-06-20200484-7491-767-0https://hdl.handle.net/20.500.14352/53312Properties (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 propertyspabook partopen access512Tensor productSpaces of polynomials.Álgebra1201 Álgebra