Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space ℓp (0<p<∞)

Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space ℓp (0<p<∞)

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 s...

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Veröffentlicht in:Abstract and applied analysis 2013, Vol.2013 (2013), p.1-10
Hauptverfasser: Karaisa, Ali, Başar, Feyzi
Format: Artikel
Sprache:eng
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Zusammenfassung: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
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/342682