Question: 1. Let A and B be nonempty, disjoint, convex subsets in a normed linear space X. A and B can be strongly separated if and

1. Let A and B be nonempty, disjoint, convex subsets in a normed linear space X. A and B can be strongly separated if and only if there exists a convex neighborhood of U of 0 such that
(A + U) ⋂B = ∅
2. Prove proposition 3.14.

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