Timeline for Subspaces of $L_p([0,1])$ whose unit ball is compact for the topology of convergence in measure
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Dec 13, 2021 at 12:22 | comment | added | pietro siorpaes | ah ah! You are totally right, I got confused between the intersection of $V$ with the unit ball in $L^p$, and the unit ball in $L^0$, which are of course very different things | |
| Dec 12, 2021 at 14:41 | comment | added | Jochen Wengenroth | That is not a valid argument. Locally compact means that some neighbourhood of $0$ is compact. But the unit ball of the $L^p$-norm on $V$ need not be a $L^0$-neighbourhood. (Your argument would implay that every compact operator between Banach spaces had finite dimensional range.) | |
| Dec 11, 2021 at 16:25 | history | answered | pietro siorpaes | CC BY-SA 4.0 |