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Chebyshev Centers in Hyperplanes of c0

Author: Veselý Libor  

Publisher: Springer Publishing Company

ISSN: 0011-4642

Source: Czechoslovak Mathematical Journal, Vol.52, Iss.4, 2002-12, pp. : 721-729

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Abstract

We give a full characterization of the closed one-codimensional subspaces of c0, in which every bounded set has a Chebyshev center. It turns out that one can consider equivalently only finite sets (even only three-point sets) in our case, but not in general. Such hyperplanes are exactly those which are either proximinal or norm-one complemented.