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MR2159588 47A55 (34L40 47B25 47B36 47E05 81Q10)
Romanov, R. On the instability of the absolutely continuous spectrum of dissipative Schrödinger operators and Jacobi matrices. (Russian) Algebra i Analiz 17 (2005), no. 2, 145--169; translation in St. Petersburg Math. J. 17 (2006), no. 2, 325–341
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