• Corpus ID: 5824881

# 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}
}
• Published 24 May 1996
• Mathematics
• Studia Mathematica
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…
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