On the fine spectrum of generalized upper triangular double-band matrices $\Delta^{uv}$ over the sequence spaces $c_o$ and $c$

Fathi, Javad

doi:10.22075/ijnaa.2015.290

On the fine spectrum of generalized upper triangular double-band matrices $Δ^{u v}$ over the sequence spaces $c_{o}$ and $c$

Document Type : Research Paper

Author

Javad Fathi

Department of Mathematic, Faculty of Science, Hormozgan University, Bandarabbas, Iran

10.22075/ijnaa.2015.290

Abstract

The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices $Δ^{u v}$ over the sequence spaces $c_{o}$ and $c$ . These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun [V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics, 234(2010) 1387-1394].