Spectral and scattering theory for perturbed block Toeplitz operators

Abstract

We analyse spectral properties of a class of compact perturbations of block Toeplitz operators associated with analytic symbols. In particular, a limiting absorption principle and the absence of singular continuous spectrum are shown. The existence and the completeness of wave operators are also obtained. Our study is based on the construction of a conjugate operator in Mourre sense for the corresponding Laurent operators.