• 제목/요약/키워드: Rhaly operators$Ces{\acute{a}}ro$ operators

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THE FINE SPECTRA OF THE RHALY OPERATORS ON c.

  • Yildirim, M.
    • East Asian mathematical journal
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    • 제23권2호
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    • pp.135-149
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    • 2007
  • In 1975, Wenger [4] determined the fine spectra of $Ces{\grave{a}}ro$ operator $C_1$ on c, the space of convergent sequences. In [7], the spectrum of the Rhaly operators on $c_0$ and c, under the assumption that ${lim}\limits_{n{\rightarrow}{\infty}}(n+1)a_n\;=\;L\;{\neq}\;0$, has been determined. In this paper the author determine the fine spectra of the Rhaly matrix $R_a$ as an operator on the space c, with the same assumption.

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