CS-barrelled spaces

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W. Sliwa
Marek Wojtowicz
J., 1952- Kakol
This note contains a proof of the following result: Let $E$ be a locally convex space. Every absorbing absolutely convex CS-closed subset of $E$ is a neighbourhood of zero in $E$ if and only if every sequentially closed linear map from $E$ into an arbitrary Banach space is continuous. Some consequences and remarks are also given.

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Sliwa, W. et al. “CS-barrelled spaces”. Collectanea Mathematica, vol.VOL 45, no. 3, pp. 271-6, https://raco.cat/index.php/CollectaneaMathematica/article/view/56286.