On the continuity of separately continuous bihomomorphisms

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dc.creatorBeattie, R.
dc.creatorButzmann, H. -P.
dc.date2008-05-18
dc.date.accessioned2026-07-07T09:39:39Z
dc.date.available2026-07-07T09:39:39Z
dc.descriptionSeparately 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.
dc.identifierhttps://arxiv.org/abs/0805.2730
dc.identifierhttp://arxiv.org/abs/0805.2730
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161249
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.titleOn the continuity of separately continuous bihomomorphisms
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