- #1
nateHI
- 146
- 4
##C_0=\{f\in L^p: f(x)\rightarrow 0 ## as ## x\rightarrow infinity\}##
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?
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?