6533b822fe1ef96bd127cbc2
RESEARCH PRODUCT
Weakly compact multilinear mappings
Richard M. AronPablo Galindosubject
Discrete mathematicsMultilinear mapMathematics Subject ClassificationGeneral MathematicsBilinear interpolationMathematicsdescription
The notion of Arens regularity of a bilinear form on a Banach space E is extended to continuous m-linear forms, in such a way that the natural associated linear mappings, E→L (m−1E) and (m – l)-linear mappings E × … × E → E', are all weakly compact. Among other applications, polynomials whose first derivative is weakly compact are characterized.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-02-01 | Proceedings of the Edinburgh Mathematical Society |