RT Journal Article
T1 Completely continuous multilinear operators on C(K) spaces
A1 Villanueva Díez, Ignacio
AB Given a k-linear operator T from a product of C(K) spaces into a Banach space X, our main result proves the equivalence between T being completely continuous, T having an X-valued separately omega* - omega* continuous extension to the product of the biduals and T having a regular associated polymeasure. It is well known that, in the linear case, these are also equivalent to T being weakly compact, and that, for k > 1, T being weakly compact implies the conditions above but the converse fails.
PB America Mathematical Society
SN 1088-6826
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/56921
UL https://hdl.handle.net/20.500.14352/56921
LA eng
DS Docta Complutense
RD 7 abr 2025