On the fine spectrum of the Cesàro operator in c0

Abstract

In the present paper, the fine spectrum of the Cesaro operator in the sequence space c0 has been examined. Although the discussion is made for determination of the spectrum of the Cesaro operator in the sequence space c0 by Reade (14) and the others, our consequences are more refinement and include a remark concerning with the previous works. Further, a Mercerian theorem has also been given. Finally, the fine spectrum of the Cesaro operator in the sequence space c has been given, without proof.