Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518945 | Bulletin des Sciences Mathématiques | 2005 | 24 Pages |
Abstract
A self-adjoint operator H with an eigenvalue λ embedded in the continuum spectrum is considered. Boundedness of all operators of the form AnP is proved, where P is the eigenprojection associated with λ and A is any self-adjoint operator satisfying Mourre's inequality in a neighborhood of λ and such that the higher commutators of H with A up to order n+2 are relatively bounded with respect to H.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Laura Cattaneo,