Timeline for $\|T\|_2 \le \sqrt{\|T\|_1\|T\|_\infty}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 25, 2014 at 23:26 | comment | added | Narutaka OZAWA | This is a special case of the Schur test. en.wikipedia.org/wiki/Schur_test | |
| May 24, 2014 at 18:53 | comment | added | Seva | @Johannes: the norms are equivalent, but the equivalence constants are not absolute: they depend on the dimension. And so, knowing that the ratio is small definitely provides some non-trivial information about $T$. | |
| May 24, 2014 at 14:22 | answer | added | Dustin G. Mixon | timeline score: 2 | |
| May 24, 2014 at 14:20 | comment | added | Johannes Hahn | I'd guess it doesn't tell us anything, because we can bound that independent of $T$ because of the equivalence of the $1$-,$2$- and $\infty$-norms on finite dimensional spaces. | |
| May 24, 2014 at 14:18 | answer | added | Suvrit | timeline score: 4 | |
| May 24, 2014 at 6:44 | history | asked | Seva | CC BY-SA 3.0 |