Original scientific paper

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

Erdinç Dündar ; Department of Mathematics, Kocatepe University, Afyon, Turkey
Feyzi Başar ; Department of Mathematics, Faculty of Science and Arts, Fatih University, Istanbul, Turkey

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 $c_{0}$.

Keywords

spectrum; fine spectrum; Goldberg’s classification; approximate point spectrum; defect spectrum; compression spectrum

Hrčak ID:

110826

URI

https://hrcak.srce.hr/110826

Publication date:

19.11.2013.

Visits: 1.360 *