Vol. 40, No. 3, 1972

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ISSN: 0030-8730
Some results on nearest points and support properties of convex sets in c0

M. Edelstein and Anthony Charles Thompson

Vol. 40 (1972), No. 3, 553–560
Abstract

The space c0 is shown to contain a closed and bounded symmetric convex body such that no point of its complement has a nearest point in it. Related results involving the existence of functionals which support each member of a family of convex sets are also discussed.

Mathematical Subject Classification
Primary: 46B05
Milestones
Received: 19 August 1970
Published: 1 March 1972
Authors
M. Edelstein
Anthony Charles Thompson