CS-barrelled spaces

Autores: Wieslaw Sliwa, Marek Wójtowicz, Jerzy Kakol
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 45, Fasc. 3, 1994, págs. 271-276
Idioma: inglés
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Resumen
- 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.