On the fine spectrum of the upper triangle double band matrix Δ+ on the sequence space c0

Abstract

In this study, we determine the fine spectrum of the matrix operator ∆+ defined by an upper triangle double band matrix acting on the sequence space c_0 with respect to the Goldberg’s classification. As a new development, we give the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator ∆+ on c_0.