Local Commutator Estimates
In this chapter, we will examine a number of theorems about operators H which follow from the Mourre estimate, an estimate which says that a commutator (H, iA) is positive in some sense. The ideas in this chapter can be traced back to Putnam(289), Kato(191) and Lavine(225) for theorems on the absence of singular spectrum, and to Weidmann(367) and Kalf(189) for theorems on absence of positive eigenvalues.
KeywordsStrong Convergence Positive Eigenvalue Point Spectrum Absolute Continuity Uniform Boundedness
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