Timeline for Given four conditionally convergent series, is there a single sequence of naturals such that each corresponding subseries sums to $\pm\infty$?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 4, 2017 at 15:17 | comment | added | Will Brian | @AndrésE.Caicedo: I have already typed out most of it (I wanted to write it down anyway in order to make sure I hadn't missed any cases or muddled any details). I'll clean it up a bit and make it available soon. | |
| May 4, 2017 at 15:15 | vote | accept | Will Brian | ||
| May 3, 2017 at 20:13 | comment | added | Andrés E. Caicedo | Will, I would be interested in a sketch of the result for three series, even if you feel your current version is ugly. | |
| May 3, 2017 at 19:45 | answer | added | fedja | timeline score: 11 | |
| May 2, 2017 at 21:12 | comment | added | Christian Remling | Perhaps a quick summary of my now deleted attempt at an answer for those who can't see it: It's tempting to try to deduce this from the Levy-Steinitz theorem on rearrangements of vector valued series (see the linked question), but apparently this only gives the following (without further analysis, that is): we can find an $A$ and a $v\in\mathbb R^k$, with $v_n\not=0$ for all $n$, so that the partial sums of $\sum_A x_k$ will be eventually be in the half space $\langle x, v\rangle \ge C$ for any $C>0$. | |
| May 2, 2017 at 18:44 | history | asked | Will Brian | CC BY-SA 3.0 |