##C_0=\{f\in L^p: f(x)\rightarrow 0 ## as ## x\rightarrow infinity\}##(adsbygoogle = window.adsbygoogle || []).push({});

This is an interesting subspace because it is the subspace of ##L^p## in which the momentum operator from physics is self adjoint. It seems that there should be more to be said about the importance of ##C_0## though. This has probably been studied before but I'm hoping for a summary and possibly some links to relevant papers on the subject that an undergrad in math might be able to read. What other interesting subspaces of ##L^p## are there?

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# Interesting Subspaces of ##L^p## Spaces

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