Timeline for Can the characteristic function of a Borel set be approached by a sequence of continuous function through a certain convergence in $L^\infty$?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 14, 2019 at 13:26 | vote | accept | Bruno | ||
| Mar 14, 2019 at 9:37 | comment | added | Bruno | @Dap yeah, I agree with the use of Dirac measure. So, we cannot talk about the convergence in all Borel measure. | |
| S Mar 14, 2019 at 9:07 | history | suggested | user64494 | CC BY-SA 4.0 |
A typo (missed ?) in the title is corrected and the title is refined
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| Mar 14, 2019 at 7:07 | comment | added | Dap | Similar question: math.stackexchange.com/questions/2482042/… | |
| Mar 14, 2019 at 6:40 | review | Suggested edits | |||
| S Mar 14, 2019 at 9:07 | |||||
| Mar 14, 2019 at 0:01 | comment | added | Nate Eldredge | @ChristianRemling: And moreover, the dual of $L^\infty$ is only those finitely additive set functions which are absolutely continuous to your reference measure (which has not been specified). I think this question needs to be clarified. | |
| Mar 13, 2019 at 17:14 | comment | added | Christian Remling | I don't think this is weak convergence, the dual of $L^{\infty}$ is finitely additive set functions, not just measures. | |
| Mar 13, 2019 at 12:16 | answer | added | Robert Israel | timeline score: 6 | |
| Mar 13, 2019 at 11:40 | review | First posts | |||
| Mar 13, 2019 at 12:57 | |||||
| Mar 13, 2019 at 11:39 | history | asked | Bruno | CC BY-SA 4.0 |