On the fine spectrum of the upper triangle double band matrix $\Delta^+$ on the sequence space $c_0$

Erdinç Dündar; Feyzi Başar

Vol. 18 No. 2 (2013)

Regular Articles

On the fine spectrum of the upper triangle double band matrix $\Delta^+$ on the sequence space $c_0$

Erdinç Dündar
Feyzi Başar

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Abstract

In this study, we determine the fine spectrum of the matrix operator $\Delta^+$ 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 $\Delta^+$ on $c_{0}$.

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