Altay, Bilâl; Başar, Feyzi On the fine spectrum of the generalized difference operator \(B(r,s)\) over the sequence spaces \(c_0\) and \(c\). (English) Zbl 1098.39013 Int. J. Math. Math. Sci. 2005, No. 18, 3005-3013 (2005). The fine spectrum [a refinement of the authors’ earlier work in Inf. Sci. 168, 217–224 (2004; Zbl 1085.47041)] of the generalised difference operator \[ B (r,s)=\left[\begin{matrix} r & 0 & 0 & \dots\\ s & r & 0 & \dots\\ \cdot & \cdot & \cdot & \cdot\\ \cdot & \cdot & \cdot & & \cdot\\ \cdot &\cdot & \cdot &&& \cdot\end{matrix}\right], \quad s\neq 0 \] on the sequence \(c_0\) and \(c_1\), is obtained. Reviewer: B. M. Agrawal (Gwalior) Cited in 3 ReviewsCited in 62 Documents MSC: 39A70 Difference operators 47B39 Linear difference operators 47A10 Spectrum, resolvent Keywords:fine spectrum Citations:Zbl 1085.47041 PDFBibTeX XMLCite \textit{B. Altay} and \textit{F. Başar}, Int. J. Math. Math. Sci. 2005, No. 18, 3005--3013 (2005; Zbl 1098.39013) Full Text: DOI