Geodesic
Nonselfadjoint extensions of symmetric operators
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 92-105

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A previous result of the author about almost unitary operators is applied to the spectral analysis of nonselfadjoint extensions of symmetric operators. With this aim in view, the Cayley transform of such an extension is written as a perturbation of a unitary operator by a finite rank operator of a special form in terms of the Weyl function. 
@article{ZNSL_2001_282_a7,
     author = {V. V. Kapustin},
     title = {Nonselfadjoint extensions of symmetric operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {92--105},
     publisher = {mathdoc},
     volume = {282},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a7/}
}
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V. V. Kapustin. Nonselfadjoint extensions of symmetric operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 29, Tome 282 (2001), pp. 92-105. http://geodesic.mathdoc.fr/item/ZNSL_2001_282_a7/