Singular rank one non-symmetric perturbations of self-adjoint operator

• Date: 2015
• Main Authors: Vdovenko, T. I., Dudkin, M. Ye., Вдовенко, Т. I., Дудкiн, М. Є.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/7
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We present a construction and discuss the eigenvalue problem for a rank one singular nonselfadjoint perturbation $\tilde A = A + \alpha \langle \cdot, \omega_1 \rangle \omega_2$ of a selfadjoint half-bounded operator $A$, i.e. the operator $A$ perturbed by nonsymmetric potential $(\omega_1 \ne \omeg...