Total paracompactness and Banach spaces
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- by Francisco Gallego Lupiañez PDF
- Proc. Amer. Math. Soc. 103 (1988), 210-214 Request permission
Abstract:
In this paper, we study some problems related to the Corson theorem. In particular we prove that ${c_0}$ does not fulfil such a theorem; hence this theorem is not valid for all infinite-dimensional Banach spaces. We give also generalizations of Corson’s theorem for some infinite-dimensional normed spaces.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 210-214
- MSC: Primary 46B20; Secondary 54D18
- DOI: https://doi.org/10.1090/S0002-9939-1988-0938670-6
- MathSciNet review: 938670