A new characterization of barrelled spaces
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- by Helmut Pfister
- Proc. Amer. Math. Soc. 65 (1977), 103-104
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440327-8
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Abstract:
A locally convex space E is barrelled if and only if ${L_s}(E,F)$ is quasicomplete for every Banach space F.References
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- Helmut Pfister, Über das Gewicht und den Überdeckungstyp von uniformen Räumen und einige Formen des Satzes von Banach-Steinhaus, Manuscripta Math. 20 (1977), no. 1, 51–72. MR 427996, DOI 10.1007/BF01181240
- A. Wilansky, On a characterization of barrelled spaces, Proc. Amer. Math. Soc. 57 (1976), no. 2, 375. MR 412761, DOI 10.1090/S0002-9939-1976-0412761-2
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 103-104
- MSC: Primary 46A07
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440327-8
- MathSciNet review: 0440327