Bases in the spaces of homogeneous polynomials and multilinear operators on Banach spaces
The study of conditions assuring the existence of monomial bases in spaces of (scalar-valued) homogeneous polynomials and multilinear mappings has been developed in several articles, such as [\textit{R. Alencar}, Proc. R. Ir. Acad., Sect. A 85, 131--138 (1985; Zbl 0594.46043); the reviewer and \textit{I. Zalduendo}, J. Math. Anal. Appl. 200, No. 3, 548--566 (1996; Zbl 0867.46006); the reviewer and \textit{S. Dineen}, Math. Scand. 83, No. 1, 142--160 (1998; Zbl 0935.46048); \textit{L. Pellegrini}, J. Math. Anal. Appl. 332, No. 1, 272--278 (2007; Zbl 1123.46028)]. The article under review extends some of the results of the previously referred papers to the vector-valued setting.
scientific article; zbMATH DE number 7136580