On supportless convex sets in incomplete normed spaces
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- by V. P. Fonf PDF
- Proc. Amer. Math. Soc. 120 (1994), 1173-1176 Request permission
Abstract:
It is proved that every incomplete separable normed space $M$ contains a closed bounded convex set $W$ such that the closed linear span of $W$ coincides with $M$ and $W$ contains no weakly supported points. This theorem answers a question of Klee and a question of Borwein and Tingley.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 1173-1176
- MSC: Primary 46B20; Secondary 52A05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1216811-6
- MathSciNet review: 1216811