On the spectrum of the Rhaly operators on $bv_{0}$
Commun. Korean Math. Soc. 2003 Vol. 18, No. 4, 669-676 Printed December 1, 2003
Mustafa Yildirim Cumhuriyet University
Abstract : In 1989, Rhaly [4] determined the spectrum of Rhaly operator $R_{a}$ on the Hilbert space $\ell_{2}$. In this paper Authors determine the spectrum of the Rhaly matrix $R_{a}$ as an operator on the space $bv_{0}$ with assumption $0< L=\lim_{n}(n+1)a_{n}<\infty$.
Keywords : Rhaly operator, Ces$\grave{a}$ro operator,spectrum and point spectrum
