RT Journal Article
T1 Multilinear operators on C(K,X) spaces
A1 Villanueva, Ignacio
AB Given Banach spaces X, Y and a compact Hausdor_ space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K;X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and sufficient conditions for X to have the Schur property (resp. to contain no copy of c0), and for K to be scattered. This extends results concerning linear operators.
PB Mathematical Institute of the Academy of Sciences of the Czech Republic
SN 1572-9141
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/49431
UL https://hdl.handle.net/20.500.14352/49431
LA eng
NO DGES
DS Docta Complutense
RD 2 may 2024