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Zbl 1118.47303
Akhmedov, Ali M.; Başar, Feyzi
On the fine spectra of the difference operator $\Delta$ over the sequence space $\ell_p$ $(1\le p<\infty)$. (English)
[J] Demonstr. Math. 39, No. 3, 585-595 (2006). ISSN 0420-1213

The authors prove some results concerning the spectrum of operators of the form $\Delta = T - S$, where $S$ is the canonical shift operator in one of the spaces $\ell_{p} \ (1 \leq p < \infty).$ Unfortunately, all results of the paper are well known.
[Petru A. Cojuhari (Kraków)]

MSC 2000:: *47A10 Spectrum and resolvent of linear operators
47B37 Operators on sequence spaces, etc.
47B39 Difference operators (operator theory)

Cited in: Zbl 1119.47306

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