On a characterization of barrelled spaces
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- by A. Wilansky
- Proc. Amer. Math. Soc. 57 (1976), 375
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412761-2
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Abstract:
We prove that a l.c. space $E$ is barrelled if every closed graph linear map: $E \to C(X)$ is continuous; $X$ compact ${T_2}$. This generalizes Mahowald’s criterion, but the main contribution is the simplicity of the proof.References
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 375
- MSC: Primary 46A07
- DOI: https://doi.org/10.1090/S0002-9939-1976-0412761-2
- MathSciNet review: 0412761