On the fine spectrum of the operator Δ a , b over the sequence space c

In this paper we examine the fine spectrum of the generalized difference operator Δ a , b over the sequence space c . The boundedness of the operator Δ a , b has been proved. Also, the norm of this operator has been found. The class of the operator Δ a , b includes some other special cases such as the generalized difference operator B ( r , s ) introduced by Altay and Başar in 2005. Our results not only generalize the corresponding results in the existing literature, but also give results for some more operators.