Timeline for Convexity of a cone in CxC
Current License: CC BY-SA 2.5
5 events
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Jul 26, 2019 at 23:20 | review | Close votes | |||
Aug 4, 2019 at 3:05 | |||||
Apr 6, 2011 at 17:31 | comment | added | Roland Bacher | Counterexample: Take $(1,1+1000i)$ and $(1000-1000i,1)$. Both work. Their midpoint $(1001/2-500i,1+500i)$ is not in your set. | |
Apr 6, 2011 at 17:24 | comment | added | Roland Bacher | Sorry, wrong (I forgot to take the real part). | |
Apr 6, 2011 at 16:59 | comment | added | Roland Bacher | Your condition amounts to $\xi=\rho_1e^{i\theta}$, $\zeta=\rho_2e^{i\theta}$ which is a (real) convex subset of $\mathbb C^2$. | |
Apr 6, 2011 at 16:41 | history | asked | nonameisfinetoo | CC BY-SA 2.5 |