6533b7d2fe1ef96bd125e09c
RESEARCH PRODUCT
Weakly continuous mappings on Banach spaces
C HervésRichard M. AronManuel Valdiviasubject
Discrete mathematicsUniform continuityPure mathematicsBanach spaceInterpolation spaceUniformly convex spaceBanach manifoldInfinite-dimensional holomorphyReflexive spaceLp spaceAnalysisMathematicsdescription
Abstract It is shown that every n -homogeneous continuous polynomial on a Banach space E which is weakly continuous on the unit ball of E is weakly uniformly continuous on the unit ball of E . Applications of the result to spaces of polynomials and holomorphic mappings on E are given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1983-06-01 | Journal of Functional Analysis |