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Abstract and Applied Analysis
Volume 2013, Article ID 687393, 13 pages
http://dx.doi.org/10.1155/2013/687393
Research Article

On the Fine Spectrum of the Operator Defined by the Lambda Matrix over the Spaces of Null and Convergent Sequences

1Department of Mathematics, Uşak University, 1 Eylül Campus, 64200 Uşak, Turkey
2Department of Mathematics, Fatih University, The Hadimköy Campus, Büyükçekmece, 34500 İstanbul, Turkey

Received 28 September 2012; Accepted 18 January 2013

Academic Editor: Pavel Kurasov

Copyright © 2013 Medine Yeşilkayagil and Feyzi Başar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Mustafa Yildirim, Mohammad Mursaleen, and Çağla Doğan, “The spectrum and fine spectrum of generalized Rhaly–CesÀro matrices on c0and c,” Operators and Matrices, vol. 12, no. 4, pp. 955–975, 2018. View at Publisher · View at Google Scholar
  • Jian Meng, and Liquan Mei, “ The spectrum of the generalized difference operator B v ( m ) over the sequence space ℓ p (1 < p < ∞ ,” Linear and Multilinear Algebra, pp. 1–11, 2018. View at Publisher · View at Google Scholar
  • Jian Meng, and Liquan Mei, “The matrix domain and the spectra of a generalized difference operator,” Journal of Mathematical Analysis and Applications, 2018. View at Publisher · View at Google Scholar
  • Binod Chandra Tripathy, and Rituparna Das, “Fine spectrum of the upper triangular matrix U (r, 0, 0, s) over the sequence spaces c0 and c,” Proyecciones, vol. 37, no. 1, pp. 85–101, 2018. View at Publisher · View at Google Scholar
  • Medine Yeşilkayagil, and Feyzi Başar, “A Survey for the Spectrum of Triangles over Sequence Spaces,” Numerical Functional Analysis and Optimization, pp. 1–20, 2019. View at Publisher · View at Google Scholar