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Aug 28, 2011 at 8:00 comment added Helge On another note: It seems to me that this question is answered to the authors satisfaction? Is there some way to stop from making it come back to the top?
Aug 28, 2011 at 7:59 comment added Helge Noam: It should be $\sqrt{-1}$, since that works for any self-adjoint operator. But since the (negative) Laplacian $-\Delta$ is positive, one could also take $-\Delta + Identity$. This choice is sometimes made to preserve reality.
Aug 27, 2011 at 19:09 comment added Noam D. Elkies In the definition of "relatively compact" are you inverting $-\Delta - i$ (with $i=\sqrt{-1}$) or $-\Delta - I$ (with $I$ the identity operator)?
Aug 13, 2011 at 17:38 history answered Hapless reader CC BY-SA 3.0