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Nov 11, 2019 at 5:19 comment added 0xbadf00d @DieterKadelka Do you see a problem with that? You may take $\mathcal L^p(\mu)$ instead. On the other hand, each functin in the same equivalence class of $L^p(\mu)$ is equal almost surely, so if shouldn't really matter.
Nov 10, 2019 at 22:47 comment added Dieter Kadelka Is it important for your problem that $W$ is a set of functions? The elements of $L^p(\mu)$ are equivalence classes in general.
Nov 10, 2019 at 18:22 history edited 0xbadf00d
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Nov 10, 2019 at 17:19 history asked 0xbadf00d CC BY-SA 4.0