Timeline for Intuition about L^p spaces
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 29, 2018 at 21:19 | comment | added | user126920 | @Dirk But you're right that "convincing us $L^p$ is reflexive" is too ambitious for the heuristic I'm describing. It's really a heuristic for why, if we already know $(L^p)^* = L^q$ and $(L^q)^* = L^r$, then $p = r$. | |
| Oct 29, 2018 at 21:15 | comment | added | user126920 | @Dirk I would say no, because the symmetry between $f$ and $g$ only holds when "the boundedness of linear functionals on $L^p$ comes down to whether $fg\in L^1$" is true in both directions. | |
| Oct 29, 2018 at 20:07 | comment | added | Dirk | Doesn't this also convince us that $L^1$ is reflexive? | |
| Oct 29, 2018 at 18:03 | history | answered | user126920 | CC BY-SA 4.0 |