### 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}

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