Open, convex, unbounded sets in normed spaces
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🧮 math.FA
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openconvexnormedunboundedaffirmativeanswerdimensionalequal
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Let X be a normed linear space. We examine if every open, convex and unbounded subset of X is equal to the union of a family of open straight half lines. The answer is affirmative if and only if X is finite dimensional.
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