Full paper in PDF:
$%M. C. Matos, On multilinear mappings of nuclear type, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 1, 61–81.%$

On Multilinear Mappings of Nuclear Type
Mario C. MATOS
IMECC-UNICAMP
Caixa Postal 6065
13081 Campinas, S.P. — Brazil

Received: November 13, 1991
Revised: October 15, 1992
Dedicated to the memory of L. Nachbin
ABSTRACT

The space of multilinear mappings of nuclear type (s;r1,...,rn) between Banach spaces is considered, some of its properties are described (including the relationship with tensor products) and its topological dual is characterized as a Banach space of absolutely summing mappings.

1991 Mathematics Subject Classification: 46E40, 46G20.