Positive commutator methods for unitary operators

Math Physics Seminar
Monday, February 6, 2012 - 12:05
1 hour (actually 50 minutes)
Skiles 006
Catholic University of Chile
We present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the absence of singularly continuous spectrum and to the local finiteness of point spectrum. Some applications for Floquet operators and for cocycles over irrational rotations will be presented.