Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE SPECTRUM OF THE RHALY OPERATORS ON bv0

  • Yildirim, Mustafa (Department of Mathematics Faculty of Science, Cumhuriyet University)
  • Published : 2003.10.01
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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 bvo with assumption $0\;<\;L\;=\;lim_n(n\;+\;1)a_n\;<\;\infty$.

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References

  1. J. Math. Analysis and Aplications v.128 Rhaly Matrices G.Leibowitz https://doi.org/10.1016/0022-247X(87)90230-7
  2. J. Austral. Math. Soc.(Series A) v.48 On the spectrum of C₁as an Operator on $bv_{o}$ J.I.Okutoyi https://doi.org/10.1017/S1446788700035205
  3. Bull. London. Math. Soc. v.17 On the spectrum of the Cesaro Operator J.B.Reade https://doi.org/10.1112/blms/17.3.263
  4. Bull. London Math. Soc. v.21 Terrace Matrices JR.H.C.Rhaly https://doi.org/10.1112/blms/21.4.399
  5. Math. Z. v.154 Matrix Tranformationen von Folgenraumen Eine Ergebnisubersicht M.Stieglitz;H.Tietz https://doi.org/10.1007/BF01215107
  6. Summability Through Functional Analysis A.Wilansky
  7. Indian J. pure. appl. Math. v.27 no.8 On the spectrum and Fine Spectrum Compact Rhaly Operators M.Yildirim

Cited by

  1. Spectra of the generalized difference operator on the sequence spaces and h 2017, https://doi.org/10.1080/03081087.2017.1369492
  2. Fine Spectra of Upper Triangular Double-Band Matrices over the Sequence Space , vol.2012, 2012, https://doi.org/10.1155/2012/381069
  3. Rhaly Operators on Small Weighted Hardy Spaces vol.43, pp.4, 2018, https://doi.org/10.1007/s40306-018-0277-9