Spectrum of Weighted Composition Operators Part III: Essential Spectra of Some Disjointness Preserving Operators on Banach Lattices

Abstract. We describe essential (in particular Fredholm and semi-Fredholm) spectra of operators on Banach lattices of the form T = wU, where w is a central operator and U is a disjointness preserving operator such that its spectrum σ(U) is a subset of the unit circle. 1