2026-06-27T01:08:45Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/498602024-07-12T15:59:29Zcom_20.500.14352_14col_20.500.14352_15

Bombal Gordon, Fernando Fernández Unzueta, M. Villanueva Díez, Ignacio 2023-06-20T09:32:40Z 2023-06-20T09:32:40Z 2004 1405-213X https://hdl.handle.net/20.500.14352/49860 We 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. metadata only access Local structure and copies of c(0) and l(1) in the tensor product of Banach spaces journal article