Timeline for Grothendieck spaces and total subspaces of the dual
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 26, 2014 at 12:29 | vote | accept | Tomasz Kania | ||
| Jan 25, 2014 at 16:52 | answer | added | Bill Johnson | timeline score: 6 | |
| Jan 21, 2014 at 20:14 | history | edited | Tomasz Kania | CC BY-SA 3.0 |
-1
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| Jan 21, 2014 at 14:37 | comment | added | Bill Johnson | @PhilipBrooker: Yes, that is why your interpretation is reasonable. :) | |
| Jan 21, 2014 at 1:56 | comment | added | Philip Brooker | @BillJohnson: Good point. On the other hand, that would rule out the possibility of a separable counterexample (which is pondered in the final line of the question). | |
| Jan 21, 2014 at 0:43 | comment | added | Bill Johnson | @PhilipBrooker: Your interpretation, which is reasonable, makes the question trivial. But probably Tomek means that every sequence in $T$ that converges weak$^*$ to an element of $X^*$ must converge weakly. Then the example $T$ must be weak$^*$ dense but weak$^*$ sequentially closed. | |
| Jan 21, 2014 at 0:32 | comment | added | Philip Brooker | I think you just need to apply the Yosida-Hewitt decomposition to obtain a counterexample with $X=\ell_1$ and $T=c_0\subseteq\ell_\infty = \ell_1^\ast$. | |
| Jan 20, 2014 at 11:02 | history | edited | Tomasz Kania | CC BY-SA 3.0 |
typo
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| Jan 20, 2014 at 10:42 | history | asked | Tomasz Kania | CC BY-SA 3.0 |