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Timeline for How many values determine a norm?

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Apr 14, 2015 at 23:38 comment added Johannes Hahn @AnthonyQuas: Minor nitpick: There should be an additional condition such as closedness or openness to make this a bijection. The open and the closed unit ball (and every set in between those two) have the same Minkowski functional.
Apr 14, 2015 at 13:22 vote accept Asaf Shachar
Apr 12, 2015 at 16:14 comment added Anthony Quas There is a detailed answer below, but the rough answer is very simple. There is a bijective correspondence between norms and bounded symmetric convex sets containing a neighbourhood of the origin. (the set is the unit ball of the norm; the norm is the Minkowski functional of the set).
Apr 12, 2015 at 9:10 answer added Duchamp Gérard H. E. timeline score: 21
Apr 12, 2015 at 8:31 history asked Asaf Shachar CC BY-SA 3.0