We show that, given a closed convex set K containing the origin in its interior, the support function of the set {y∈K∗∣ there exists x∈K such that ⟨x,y⟩=1} is the pointwise smallest among all sublinear functions σ such that K={x∣σ(x)≤1}
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AB
Amitabh Basu
Dept. of Mathematics, University of California, One Shields Avenue, Davis, CA 95616, U.S.A.