Timeline for Characterization of nets with no convergent subnets in Banach spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| May 15, 2017 at 18:57 | comment | added | André Porto | No, I didn't mean weak or weak* convergence. I'd like to know if there is any good property (maybe a characterization by means of the norms or distances between the net elements, or any other property). Like, once I heard that if the net is actually a sequence then it has a subsequence that is a schauder basis for some closed subspace of $X$ or something like that, but I don't know whether it is true. | |
| May 15, 2017 at 16:41 | comment | added | ARG | Perhaps you mean a weak$^*$ convergent subnet? because a bounded net in $X$ may not converge, as pointed out in the answer below... | |
| May 15, 2017 at 16:17 | answer | added | Alexi Quevedo S. | timeline score: 1 | |
| May 12, 2017 at 4:56 | comment | added | Martin Sleziak | Originally asked on math.SE: Nets with no convergent subnets in Banach spaces | |
| May 12, 2017 at 3:55 | history | asked | André Porto | CC BY-SA 3.0 |