On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 2, pp. 174-186
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For an entirely non-selfadjoint operator with spectrum at zero, the imaginary component of which has an absolutely continuous spectrum (not necessarily dissipative and having lacunas in the spectrum), triangular and functional models are constructed.
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R. Hatamleh; V. A. Zolotarev. On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 11 (2015) no. 2, pp. 174-186. http://geodesic.mathdoc.fr/item/JMAG_2015_11_2_a3/

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