Fine Spectra of Upper Triangular Triple‐Band Matrices over the Sequence Space ℓp (0

Ali Karaisa and Feyzi Başar

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The fine spectra of lower triangular triple‐band matrices have been examined by several authors (e.g., Akhmedov (2006), Başar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple‐band matrices over the sequence space ℓp. The operator A(r, s, t) on sequence space on ℓp is defined by A(r,s,t)x=(rxk+sxk+1+txk+2) k=0∞, where x = (xk) ∈ ℓp, with 0

Date: 2013
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https://doi.org/10.1155/2013/342682

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:342682

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