On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Authors: Hatamleh, R., Zolotarev, V.A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/118025
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component / R. Hatamleh, V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 2. — С. 174-186. — Бібліогр.: 7 назв. — англ.

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. Для вполне несамосопряженных операторов со спектр...