The Fine Spectra of the Rhaly Operators on c_{0}

Authors

MUSTAFA YILDIRIM

DOI

-

Abstract

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.

Keywords

Rhaly operator, spectrum and point spectrum.

First Page

273

Last Page

282

Recommended Citation

YILDIRIM, MUSTAFA (2002) "The Fine Spectra of the Rhaly Operators on c_{0}," Turkish Journal of Mathematics: Vol. 26: No. 3, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol26/iss3/3