Geodesic
Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 22, Tome 217 (1994), pp. 144-171 
V. A. Ryzhov. Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 22, Tome 217 (1994), pp. 144-171. http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a11/
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     author = {V. A. Ryzhov},
     title = {Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {144--171},
     year = {1994},
     volume = {217},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_217_a11/}
}
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For a pair of non-selfadjoint operators with characteristic operator-functions having boundary values in the strong operator topology almost everywhere on the real axis, (local) wave operators are constructed. The investigation is based on the local stationary approach arising from the selfadjoint scattering theory and a certain interpretation of the absolutely continuous subspace as an equipped Hilbert space. Sufficient conditions for the existence of the wave operators are obtained and some of their properties are described. Bibliography: 28 titles.