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arXiv · 0805.2730

On the continuity of separately continuous bihomomorphisms

R. Beattie·H. -P. Butzmann
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Abstract

Separately continuous bihomomorphisms on a product of convergence or topological groups occur with great frequency. Of course, in general, these need not be jointly continuous. In this paper, we exhibit some results of Banach-Steinhaus type and use these to derive joint continuity from separate continuity. The setting of convergence groups offers two advantages. First, the continuous convergence structure is a powerful tool in many duality arguments. Second, local compactness and first countability, the usual requirements for joint continuity, are available in much greater abundance for convergence groups.

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R. Beattie, H. -P. Butzmann. 2008-05-18. On the continuity of separately continuous bihomomorphisms. https://arxiv.org/abs/0805.2730

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