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
MSC numbers : Primary 47B37; Secondary 47B38, 40G99, 47A10
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