Multiple summing operators on Banach spaces.
There are various methods to generalize properties of linear operators, like compactness, summability, etc., to multilinear operators. In this paper, the authors construct a predual of certain spaces of multiple \((q; p_1,\ldots,p_n)\)-summing multilinear operators. The deduced results are also used to improve several results due to \textit{K. Floret} and \textit{M. C. Matos} [Math. Nachr. 176, 65--72 (1995; Zbl 0839.46040)] and \textit{Y. Meléndez} and \textit{A. Tonge} [Math. Proc. R. Ir. Acad. 99A, 195--212 (1999; Zbl 0973.46037)] or to give a much easier approach to a result essentially contained in the work of \textit{H. P. Rosenthal} and \textit{S. J. Szarek} [Functional analysis, Proc. Semin., Austin/TX (USA) 1987-89, Lect. Notes Math. 1470, 108--132 (1991; Zbl 0758.47022)].
scientific article; zbMATH DE number 1985890