0000000000172317

AUTHOR

C Hervés

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Weakly continuous mappings on Banach spaces

1983

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.

Discrete mathematicsUniform continuityPure mathematicsBanach spaceInterpolation spaceUniformly convex spaceBanach manifoldInfinite-dimensional holomorphyReflexive spaceLp spaceAnalysisMathematicsJournal of Functional Analysis
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