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Timeline for Pathological product space norm

Current License: CC BY-SA 3.0

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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