Subdivision of the Spectra for the Generalized Difference Operator , on the Sequence Space ( < < ∞)

Abstract

El-Shabrawy has introduced the generalized difference operator denoted by Δ , . Let nonzero real numbers sequences   and   be convergent sequences such that limak a k b k k difference a0,limkb, b a and k k supk ≤ , ≤ , for all ∈ ℕ.The generalized operator ,a ba bis