Riesz theorem for positive multilinear functions
The Riesz theorem is a classical result of functional analysis, which states that an arbitrary real-valued continuous linear functional in the space of all continuous real functions on a compact Hausdorff space can be represented by an integral [\textit{F. Riesz}, C. R. 149, 974--977 (1910; JFM 40.0388.03)]. The author extends this result to continuous multilinear functionals on the Cartesian product of a finite number of spaces of all continuous real functions on compact Hausdorff spaces (Theorem 1).
scientific article; zbMATH DE number 6123766