Singularly perturbed self-adjoint operators in scales of Hilbert spaces

• Дата: 2007
• Автори: Kuzhel', S. A., Nizhnik, L. P., Кужіль, С. О., Нижник, Л. П.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2007
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3341
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Finite rank perturbations of a semi-bounded self-adjoint operator $A$ are studied in the scale of Hilbert spaces associated with $A$. A concept of quasi-boundary value space is used to describe self-adjoint operator realizations of regular and singular perturbations of $A$ by the same formula. As...