Timeline for Extension of positive functionals
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2020 at 22:20 | comment | added | Giorgio Metafune | @fedja Thank you very much. The example is very nice and simple...but it did not come to mind! | |
| Aug 23, 2020 at 21:05 | comment | added | fedja | Just take $f\mapsto -f(0)$ on the subspace $M$ of $C[0,1]$ of all functions with zero integral (so that the positivity condition on $M$ is void). The only possible extension would be $f\mapsto -f(0)+C\int_0^1 f$ but that one is not positive for any $C$. | |
| Aug 23, 2020 at 17:30 | history | asked | Giorgio Metafune | CC BY-SA 4.0 |