On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0

Abstract

The purpose of this study is to determine the fine spectra of the operator for which the corresponding lower and upper triangular matrices $A(r,s,t)$ and $B(r,s,t)$  are on the sequence spaces $c$ and $\ell_{p}$, where $(0<p<1)$, respectively. Further, we obtain the approximate point spectrum, defect spectrum and compression spectrum on these spaces. Furthermore, we give the graphical representations of the spectrum of the triangular triple-band matrix over the sequence spaces $c$ and  $\ell_{p}$.