Fine Spectra of Upper Triangular Triple-Band Matrices over the Sequence Space lp ( 0 < p < ?)
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The fine spectra of lower triangular triple-band matrices have been examined by several authors (e. g., Akhmedov (2006), Basar (2007), and Furken et al. (2010)). Here we determine the fine spectra of upper triangular triple-band matrices over the sequence space l(p). The operator A(r, s, t) on sequence space on l(p) is defined by A(r, s, t)x = (rx(k) + sx(k+1) + tx(k+2))(k=0)(infinity), where x = (x(k)) is an element of l(p), with 0 < p < infinity. In this paper we have obtained the results on the spectrum and point spectrum for the operator A(r, s, t) on the sequence space l(p). Further, the results on continuous spectrum, residual spectrum, and fine spectrum of the operator A(r, s, t) on the sequence space l(p). are also derived. Additionally, we give the approximate point spectrum, defect spectrum, and compression spectrum of the matrix operator A(r, s, t) over the space l(p) and we give some applications.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Abstract And Applied Analysis
WoS Q Değeri
Q1
Scopus Q Değeri
Q4
