Timeline for A question on gauge functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 9, 2012 at 0:25 | vote | accept | user21199 | ||
| Feb 7, 2012 at 23:19 | comment | added | Suvrit | Also, note that $x \prec y$ notation sorts its arguments into descending order when applying inequalities that define majorization. | |
| Feb 7, 2012 at 23:17 | comment | added | Suvrit | note that $x \prec y$ requires $\sum_i x_i = \sum_i y_i$. Also, the in the example that you give, $|x|=|y|$, so the majorization holds trivially....maybe you are missing something else? | |
| Feb 7, 2012 at 18:58 | comment | added | user21199 | I have actually tried to use II.5.11, but there is a condition for x and y that is, they need to be in $R_{+}^{n}$. For instance, if x=(−1,−1), y=(1,-1), then |x| is not weak majorized by |y|. | |
| Feb 7, 2012 at 16:09 | history | answered | Suvrit | CC BY-SA 3.0 |