Vol. 46, No. 1, 1973

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Concerning dentability

M. Edelstein

Vol. 46 (1973), No. 1, 111–114
Abstract

It is shown that c0 contains a closed and bounded convex body which is dentable but fails to have extreme points. On the other hand, there exists a strictly convex, closed, symmetric, convex body which fails to be dentable. (Thus dentability is, in general, unrelated to extremal structure.)

Mathematical Subject Classification
Primary: 46B05
Milestones
Received: 27 January 1972
Published: 1 May 1973
Authors
M. Edelstein