On supportless convex sets in incomplete normed spaces

V. P. Fonf

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

On supportless convex sets in incomplete normed spaces

V. P. Fonf

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English
Pages (from-to)	1173-1176
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	120
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1994-1216811-6
State	Published - 1 Jan 1994

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1994-1216811-6

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On supportless convex sets in incomplete normed spaces

Abstract

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