Abstract

In this paper we characterize real Banach spaces whose duals are isometric to L 1 (μ) spaces (the so-called L 1 -predual spaces) as those spaces in which every finite set is centrable. For a locally compact, non-compact set X and for an L 1 -predual E, we give a complete description of the extreme points and denting points of the dual unit ball of C 0 (X, E), equipped with the diameter norm.

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