RT Journal Article
T1 Local structure and copies of c(0) and l(1) in the tensor product of Banach spaces
A1 Bombal Gordon, Fernando
A1 Fernández Unzueta, M.
A1 Villanueva Díez, Ignacio
AB 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.
PB Sociedad Matemática Mexicana
SN 1405-213X
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/49860
UL https://hdl.handle.net/20.500.14352/49860
DS Docta Complutense
RD 9 jul 2025