Timeline for the double dual of "little l one" sequence space
Current License: CC BY-SA 3.0
10 events
when toggle format | what | by | license | comment | |
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Apr 19, 2021 at 12:03 | review | Suggested edits | |||
Apr 19, 2021 at 15:58 | |||||
Jan 3, 2016 at 2:02 | answer | added | Ben W | timeline score: 3 | |
Dec 27, 2015 at 3:10 | review | First posts | |||
Dec 27, 2015 at 3:55 | |||||
Dec 18, 2015 at 7:24 | comment | added | Joe | Okay, thanks. I was not aware of that standard notion. | |
Dec 18, 2015 at 7:22 | comment | added | Jochen Wengenroth | But the standard notion then is $\ell_1$ or $\ell^1$. | |
Dec 17, 2015 at 17:17 | comment | added | Joe | $l_1^{\infty}(\mathbb{R})$ is the space of all countably infinite sequences of real numbers which converge absolutely when summed as a series. | |
Dec 17, 2015 at 14:47 | comment | added | Jochen Wengenroth | What is $\ell_1^\infty(\mathbb R)$? | |
Dec 17, 2015 at 11:38 | comment | added | Joe | Thank you. This is the type of answer I was looking for. | |
Dec 17, 2015 at 10:14 | comment | added | Fedor Petrov | First dual is $\ell_{\infty}$, and the second dual consists of finitely additive finite signed measures on $\mathbb{N}$. In particular, it contains ultrafilters: any ultrafilter $A$ on $\mathbb{N}$ send a sequence to its $A$-limit. | |
Dec 17, 2015 at 9:10 | history | asked | Joe | CC BY-SA 3.0 |