Bombal Gordon, FernandoFernández Unzueta, M.Villanueva Díez, Ignacio2023-06-202023-06-2020041405-213Xhttps://hdl.handle.net/20.500.14352/49860We use well known properties of the tensor product of l(p)-spaces to study the local structure of projective and injective tensor products of Banach spaces. In particular we give a simple proof of the fact that the injective (resp. projective) tensor product of infinite dimensional Banach spaces contains the l(infinity)(n)'s (resp., l(1)(n)'s) uniformly complemented. We then refine the previous arguments to give criteria for obtaining copies (complemented or not) of c(0) in the injective tensor product of Banach spaces, and complemented copies of l(1) in the projective tenser product of Banach spaces.journal articlemetadata only access517.986.6PolynomialsTensor productsComplemented copiesBanach spacesAnálisis matemático1202 Análisis y Análisis Funcional