11-54 S. Richard, R. Tiedra de Aldecoa

A few results on Mourre theory in a two-Hilbert spaces setting (300K, PDF) Apr 8, 11

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Abstract. We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces setting. In particular a Mourre estimate for a pair of self-adjoint operators (H,A) is deduced from a similar estimate for a pair of self-adjoint operators (H_0,A_0) acting in an auxiliary Hilbert space. A new criterion for the completeness of the wave operators in a two-Hilbert spaces setting is also presented.

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