On The Fine Spectrum of Generalized Upper Triangular Triple-Band Matrices ${\left( {\Delta _{uvw}^2} \right)^t}$ Over the Sequence Space ${l_1}$

Abstract

In this work, we determine the fine spectrum of the matrix
operator ${\left( {\Delta _{uvw}^2} \right)^t}$ which is defined
generalized upper triangular triple band matrix on ${l_1}$ . Also,
we give the approximate point spectrum, defect spectrum and
compression spectrum of the matrix operator ${\left( {\Delta
_{uvw}^2} \right)^t}$ on ${l_1}