Hermitian Pencils and their Representation in Krein Spaces

Rabeb Aydi, Omaima Kchaou, Carsten Trunk

Pencils of the form $\mathcal{A}(\hat{I}»)=\hat{I}»E-A$ are studied, where $A$ and $E$ are bounded linear operators on a Hilbert space. Of interest are the spectral properties of $\mathcal{A…