On supportless convex sets in incomplete normed spaces

Fonf, V. P.

doi:10.1090/S0002-9939-1994-1216811-6

On supportless convex sets in incomplete normed spaces
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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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On basis

in the broad sense of the word

for linear spaces

41

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