Stability of some essential B-spectra of pencil operators and application

Abstract

In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1]), p ≥ 1 and a > 0.

Keywords

• Operator pencil
• finite-rank and power finite-rank perturbations
• essential B-spectra
• transport operator