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The Fine Spectra Of The Rhaly Operators On C_{0}, Mustafa Yildirim Jan 2002

The Fine Spectra Of The Rhaly Operators On C_{0}, Mustafa Yildirim

Turkish Journal of Mathematics

In 1975, Wenger [3] determined the fine spectra of Cesàro operator C_{1} on c, the space of convergent sequences. In [6], the spectrum of the Rhaly operators on c_{0} and c, under the assumption that {\displaystyle\lim_{n \rightarrow \infty}(n+1)a_{n} }=L\neq 0, has been determined. This paper presents the fine spectra of the Rhaly matrix R_{a} as an operator on the space c_{0}, with the same assumption.