Timeline for Sufficient condition for weak convergence in Banach spaces
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5 at 17:43 | comment | added | Ryszard Szwarc | Another example: $C[0,2]$ and $f_n(x)=\min(x^n,1).$ | |
| Sep 18 at 12:11 | comment | added | terceira | $(1,0.0.\dots)$, $(1,1,0,0,\dots$, $(1,1,1,0,0,\dots$ and so on in $c_0$. | |
| Sep 18 at 9:36 | comment | added | an_ordinary_mathematician | Thanks, I was not aware of this concept. Actually it is exactly the definition of weak sequentially completeness. | |
| Sep 18 at 9:02 | comment | added | Teri | The limit should define an element in the bidual $X^{**}$. In this language what you ask is whether that element is in (the canonical image of) $X\subset X^{**}$. I think in general there's no reason to expect that. In fact if I'm not mistaken this is related to being weakly sequentially complete. | |
| Sep 18 at 8:49 | history | asked | an_ordinary_mathematician | CC BY-SA 4.0 |