On the correspondence between spectra of the operator pencil $A-\lambda B$ and of the operator $B^{-1}A$

Abstract

This paper is concerned with the reduction of the spectral problem for symmetric linear operator pencils to a spectral problem for the single operator. Also, a Rayleigh-Ritz-like bounds on eigenvalues of linear operator pencils are obtained.

23 pages, to appear in Glasnik matematički