Timeline for convergence in weak Lp
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2014 at 7:23 | answer | added | Post No Bulls | timeline score: 3 | |
| Jan 2, 2014 at 23:01 | comment | added | wfw | oh right right. nevermind then, I realize what $l^p$ is, I was just staring at certain texts for too long. nevermind then. | |
| Jan 2, 2014 at 22:50 | comment | added | Harald Hanche-Olsen | You wrote $l^p$. That usually means $L^p$ on a set with counting measure. If you did not mistype the question, your example does not apply. | |
| Jan 2, 2014 at 22:49 | comment | added | Davide Giraudo | In this case this may be not true: consider $p=2$, the unit interval and $f_n(x):=\sin(\pi n x)$. We have the weak convergence to $0$ but no pointwise convergence. | |
| Jan 2, 2014 at 22:47 | comment | added | wfw | nothing like that. the context of the chapter leads me to be believe it would be any subset of $\mathbb{R}^n$. | |
| Jan 2, 2014 at 22:36 | comment | added | Davide Giraudo | What is $A$? A subset of the natural numbers with counting measure? | |
| Jan 2, 2014 at 22:31 | history | asked | wfw | CC BY-SA 3.0 |