On the fine spectra of the generalized difference operator $\Delta_{uv}$ over the sequence space $c_0$

Abstract

The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator $\Delta_{uv}$ over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator $\Delta_{uv}$ of Srivastava and Kumar.

Keywords

• spectrum of an operator
• matrix mapping
• difference operator
• sequence space