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Under a suitable renorming every nonreflexive Banach space has a finite subset without a Steiner point
Journal: Matematychni Studii (Vol.36, No. 2)Publication Date: 2011-11-01
Authors : Kadets V.;
Page : 197-200
Keywords : Steiner point of a finite set; Banach space; equivalent norm;
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Abstract
We present a refinement of the recent Borodin's example of a finite set without a Steiner point. Namely, we show that under a suitable renorming such an example exists in every nonreflexive Banach space.
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