Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1<p<∞)

Abstract

El-Shabrawy has introduced the generalized difference operator denoted by . Let nonzero real numbers sequences and be convergent sequences such that and The generalized difference operator is with. In this paper we study the approximate point spectrum, the defect spectrum and the compression spectrum of the operator on the p-absolutely summable sequences space.