Singular Perturbations of Self-Adjoint Operators Associated with Rigged Hilbert Spaces

• Date: 2005
• Main Authors: Bozhok, R. V., Koshmanenko, V. D., Божок, Р. В., Кошманенко, В. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3628
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let A be an unbounded self-adjoint operator in a Hilbert separable space \(H_0\) with rigging \(H_ - \sqsupset H_0 \sqsupset H_ +\) such that \(D(A) = H_ +\) in the graph norm (here, \(D(A)\) is the domain of definition of A). Assume that \(H_ +\) is decomposed into the orthogonal sum \(H_ + =...