Linear operator pencils \(A-\lambda B\) with discrete spectrum (Q1583713)

There are studied spectral properties of pencils \(L(\lambda)= A-\lambda B\), \(\lambda\in\mathbb{C}\), with bounded, non-selfadjoint operators \(A\), \(B\) acting between two Banach spaces. \(B\) is not assumed to be injective or surjective. The resolvent of \(L\) is assumed to have certain polynomial growth. There are studied the minimality, completeness and basic properties for eigenvectors and associated vectors.