Timeline for A characterization of $L_1(\mu)$ in $L_\infty(\mu)^*$
Current License: CC BY-SA 4.0
13 events
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| May 29, 2018 at 6:42 | vote | accept | Sergei Akbarov | ||
| May 28, 2018 at 7:41 | comment | added | Sergei Akbarov | Pietro, it's OK, I did not suspect this. I read about the difference here: mathforum.org/library/drmath/view/52249.html So now I know about it. :) | |
| May 28, 2018 at 7:20 | comment | added | Pietro Majer | My apologies, I didn't mean to be nitpicking :) | |
| May 28, 2018 at 6:45 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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| May 28, 2018 at 6:25 | comment | added | Sergei Akbarov | @PietroMajer, actually I don't feel the difference, my English is not that good. | |
| May 28, 2018 at 3:46 | comment | added | Pietro Majer | (But why "hypothesis"? You are stating it as a conjecture, aren't you?) | |
| May 28, 2018 at 2:18 | answer | added | Robert Furber | timeline score: 9 | |
| May 27, 2018 at 22:10 | answer | added | Michael Greinecker | timeline score: 13 | |
| May 27, 2018 at 21:18 | history | edited | Sergei Akbarov |
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| May 27, 2018 at 20:20 | answer | added | billabong | timeline score: 2 | |
| May 27, 2018 at 19:53 | comment | added | Michael Greinecker | It is sufficient, but I have no appropriate reference at hand. Every bounded linear functional on $L_\infty(\mu)$ can be represented as integration with respect to a finite finitely additive signed measure absolutely continuous with respect to $\mu$. Each such finitely additive signed measure has a Jordan decomposition and the rest is a standard characterization of countable additivity for bounded finitely additive set functions by the measure of sequences of sets decreasing to the empty set decreasing to zero. | |
| May 27, 2018 at 19:01 | history | edited | Sergei Akbarov | CC BY-SA 4.0 |
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| May 27, 2018 at 18:14 | history | asked | Sergei Akbarov | CC BY-SA 4.0 |