Timeline for Pathological product space norm
Current License: CC BY-SA 3.0
3 events
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Nov 11, 2014 at 14:41 | comment | added | Ilmari Karonen | I believe some statements equivalent to this property (assuming that $||(x,y)||=n(x,y)$ is a norm on $\mathbb R^2$) are a) that $||(x,y)||_{\rm abs} = n(|x|,|y|)$ is a norm on $\mathbb R^2$, b) that $n(x,y) \ge n(x,0), n(0,y)$ for all $x,y\ge0$, or c) that the balls $B_{\rm abs}(r)=\{(x,y)\in\mathbb R^2:n(|x|,|y|)\le r\}$ are convex. | |
Nov 9, 2014 at 6:36 | review | First posts | |||
Nov 9, 2014 at 7:57 | |||||
Nov 9, 2014 at 6:34 | history | answered | fair | CC BY-SA 3.0 |