Sequential and conditional compactness in the dual of a barrelled space
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- by Edward G. Ostling PDF
- Proc. Amer. Math. Soc. 45 (1974), 123-124 Request permission
Abstract:
Let $E$ be a barrelled locally convex space and suppose ${T_{\mathcal {A}}}$ is a topology on the dual $E’$ of $E$ which is admissible for the duality $(E,E’)$. It is shown that each ${T_{\mathcal {A}}}$ sequentially compact subset of $E’$ is ${T_{\mathcal {A}}}$ conditionally compact.References
- Joe Howard, Mackey compactness in Banach spaces, Proc. Amer. Math. Soc. 37 (1973), 108–110. MR 312212, DOI 10.1090/S0002-9939-1973-0312212-X
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 123-124
- MSC: Primary 46A07
- DOI: https://doi.org/10.1090/S0002-9939-1974-0433178-9
- MathSciNet review: 0433178