On the spectrum of the generalized lower triangle double-band matrix∆ a over the sequence space c,

20-09-2015 09:01

The main purpose of this paper is to determine the spectrum of the generalized difference operator Δa over the sequence space c. The results of this paper generalize the corresponding results in [B. Altay, F. Basar, On the fine spectrum of the difference operator on c0 and c, Inform. Sci. 168 (2004), 217-224].