On spectra of quadratic operator pencils with rank one gyroscopic linear part

Olga Boyko, Olga Martynyuk, Vyacheslav Pivovarchik

The spectrum of a selfadjoint quadratic operator pencil of the form ${\lambda }^{2}M-\lambda G-A$ is investigated where $M\ge 0$, $G\ge 0$ are bounded operators and $A$ is selfadjoint bounded belo…