Matos, Mario C. On multilinear mappings of nuclear type. (English) Zbl 0807.46022 Rev. Mat. Univ. Complutense Madr. 6, No. 1, 61-81 (1993). Summary: The space of multilinear mappings of nuclear type \((s; r_ 1,\dots, r_ n)\) 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. Cited in 30 Documents MSC: 46B28 Spaces of operators; tensor products; approximation properties 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) 46E40 Spaces of vector- and operator-valued functions 46G20 Infinite-dimensional holomorphy Keywords:space of multilinear mappings of nuclear type; tensor products; topological dual; Banach space of absolutely summing mappings PDFBibTeX XMLCite \textit{M. C. Matos}, Rev. Mat. Univ. Complutense Madr. 6, No. 1, 61--81 (1993; Zbl 0807.46022) Full Text: EuDML