# Factorization of weakly continuous holomorphic mappings

@article{Gonzlez1996FactorizationOW, title={Factorization of weakly continuous holomorphic mappings}, author={Manuel Gonz{\'a}lez and Joaqu{\'i}n M. Guti{\'e}rrez}, journal={Studia Mathematica}, year={1996}, volume={118}, pages={117-133} }

We prove a basic property of continuous multilinear mappings between topological vector spaces, from which we derive an easy proof of the fact that a multilinear mapping (and a polynomial) between topological vector spaces is weakly continuous on weakly bounded sets if and only if it is weakly {\it uniformly\/} continuous on weakly bounded sets. This result was obtained in 1983 by Aron, Herv\'es and Valdivia for polynomials between Banach spaces, and it also holds if the weak topology is…

## 17 Citations

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