On supportless absorbing convex subsets in normed spaces

V. P. Fonf

ArticleOriginal scientific text

Title

On supportless absorbing convex subsets in normed spaces

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Affiliations

Kharkov Institute of Railway Engineering, Feuerbach SQ., 7, 310050 Kharkov, Ukraine

Abstract

It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.

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J. M. Borwein and D. W. Tingley, On supportless convex sets, Proc. Amer. Math. Soc. 94 (1985), 471-476.
V. Klee, Extremal structure of convex sets. II, Math. Z. 69 (1958), 90-104.

Title

On supportless absorbing convex subsets in normed spaces

Affiliations

Abstract

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