The spectrum of the generalized difference operator Bv(m) over the sequence space ℓp (1 < p < ∞.

In this paper, we determine the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the operator B v (m) on the sequence space ℓ p (1 < p < ∞). These results generalize the spectrum of the difference operator △ , △ v , △ a , b , △ u v 2 , △ u v w 2 , △ v r and some other cases Z s , B (r , s) , B (r , s , t) over the space ℓ p . [ABSTRACT FROM AUTHOR]