Question: Let Hf (c) be a bounding hyperplane of a cone C in a normed linear space X, that is, f (x) c for every

Let Hf (c) be a bounding hyperplane of a cone C in a normed linear space X, that is, f (x) ≤ c for every x ∈ C. Then
f (x) ≥ 0 for every x ∈ C

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