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• W1971996125 abstract "It is proved that a locally quasi-convex group is a Schwartz group if and only if every continuously convergent filter on its dual group converges locally uniformly. We also show that for metrizable separable groups a similar result remains true when filters are replaced by sequences. As an ingredient in the proofs of these results, we obtain a Schauder-type theorem on compact homomorphisms acting between the natural group analogues of normed spaces." @default.
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• W1971996125 date "2011-02-01" @default.
• W1971996125 modified "2023-09-27" @default.
• W1971996125 title "Schwartz groups and convergence of characters" @default.
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• W1971996125 doi "https://doi.org/10.1016/j.topol.2010.11.025" @default.
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