On~the~theory of nonselfadjoint operators of Schr\"odinger type with a matrix potential
Izvestiya. Mathematics , Tome 41 (1993) no. 2, pp. 193-205

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The author studies the theory of dilation, characteristic function, and spectral analysis of dissipative operators of Schrödinger type with a matrix potential in $L_2((0,\infty);E)$ which are an extension of a minimal symmetric operator with defect indices $(2n,2n)$ $(\dim E=n\infty)$.
@article{IM2_1993_41_2_a1,
     author = {B. P. Allakhverdiev},
     title = {On~the~theory of nonselfadjoint operators of {Schr\"odinger} type with a matrix potential},
     journal = {Izvestiya. Mathematics },
     pages = {193--205},
     publisher = {mathdoc},
     volume = {41},
     number = {2},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a1/}
}
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B. P. Allakhverdiev. On~the~theory of nonselfadjoint operators of Schr\"odinger type with a matrix potential. Izvestiya. Mathematics , Tome 41 (1993) no. 2, pp. 193-205. http://geodesic.mathdoc.fr/item/IM2_1993_41_2_a1/