On the fine spectrum of quadruple band matrix operator over c0 and c

Abstract

We give the fine spectrum of the quadruple band matrix operator Q(r; s; t; u) over c0 and c( The matrix Q(r; s; t; u) generalizes ?3, D(r; 0; 0; s), B(r; s; t), ?2, B(r; s), ?, right-shift and Zweier matrices, where ?3, B(r; s; t), ?2, B(r; s) and ? are called third-order difference, triple band, second-order difference, double band (generalized difference) and difference matrix, respectively. © 2020 Rocky Mountain Mathematics Consortium. All rights reserved.