On supportless convex sets in incomplete normed spaces

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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.

Original languageEnglish
Pages (from-to)1173-1176
Number of pages4
JournalProceedings of the American Mathematical Society
Volume120
Issue number4
DOIs
StatePublished - 1 Jan 1994

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