Timeline for How many values determine a norm?
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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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 |