Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 3
The Fine Spectra of the Rhaly Operators on c0
- Pages
- 273–282
- DOI
- —
Abstract
In 1975, Wenger [3] determined the fine spectra of Cesàro operator C1 on c, the space of convergent sequences. In [6], the spectrum of the Rhaly operators on c0 and c, under the assumption that {\displaystyle\limn \rightarrow \infty(n+1)an }=L\neq 0, has been determined. This paper presents the fine spectra of the Rhaly matrix Ra as an operator on the space c0, with the same assumption.
Özet
In 1975, Wenger [3] determined the fine spectra of Cesàro operator C1 on c, the space of convergent sequences. In [6], the spectrum of the Rhaly operators on c0 and c, under the assumption that {\displaystyle\limn \rightarrow \infty(n+1)an }=L\neq 0, has been determined. This paper presents the fine spectra of the Rhaly matrix Ra as an operator on the space c0, with the same assumption.