On the spectrum and fine spectrum of an upper triangular double-band matrix on sequence spaces

Document Type : Research Paper


Department of Mathematics, Faculty of Sciences, Fırat University, Elazıvg, Turkey


In this paper, we investigate the spectrum and fine spectrum of the upper triangular double-band matrix $\Delta ^{uv}$ on $cs$ sequence space. We also determine the approximate point spectrum, the defect spectrum and the compression spectrum of this matrix on $cs$.