On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞)
On the fine spectrum of the generalized difference operator defined by a double sequential band matrix over the sequence space $\ell_p$, (1 < p < ∞)
The main purpose of this paper is to determine the fine spectrum with respect to the Goldberg’s classification of the operator $B(\tilde{r},\tilde{s})$ defined by a double sequential band matrix over the sequence space $\ell_p$ where 1 < p < ∞. These results are more general than the spectrum of the generalized difference operator B(r, s) over $\ell_p$ of Bilgiç and Furkan [Nonlinear Anal. 68(3)(2008), 499–506].
Keywords:
Spectrum of an operator, double sequential band matrix, spectral mapping theorem the sequence space lp, Goldberg’s classification,
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi