On some spectral properties of a class of degenerate elliptic differential operators

Some spectral properties are investigated for a class of degenerate-elliptic operators A with singular matrix coefficients generated by noncoercive sesquilinear forms. Operator A is considered in the Hilbert space $L_2(\Omega)^l$, where $\Omega\subset R^n$ is a limit-tube domain and $l>0$ is an integer.