Timeline for Norm of an operator formed using a unitary operator
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2016 at 15:05 | vote | accept | DLN | ||
| Apr 7, 2016 at 14:55 | comment | added | DLN | Sorry. I hadn't read the solution earlier. I see that its not possible for $B$ to attend the norm in infinite dimension also. The same proof works. | |
| Apr 7, 2016 at 14:48 | comment | added | DLN | Thanks for the solution. But in the infinite dimensional case is it possible for the operator $ B $ to actually attend its norm? I mean is there an example for which there will be a $ v $ with $ |v|=1 $ so that $ |Bv|=1 $. Since any operator in finite dimension attends its norm, I forgot to mention it in the infinite dimensional case. | |
| Apr 7, 2016 at 14:42 | history | answered | Will Sawin | CC BY-SA 3.0 |