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Zbl 1085.47041
Altay, Bilâl; Başar, Feyzi
On the fine spectrum of the difference operator $\Delta$ on $c_{0}$ and $c$. (English)
[J] Inf. Sci. 168, No. 1-4, 217-224 (2004). ISSN 0020-0255

The authors use the methods of functional analysis to study the spectrum of the difference operator $\Delta$ ($\Delta x_k:=x_k-x_{k-1}$) represented by the associated infinite two-diagonal matrix.
[Roman Hilscher (Brno)]

MSC 2000:: *47B39 Difference operators (operator theory)
47B37 Operators on sequence spaces, etc.
46B45 Banach sequence spaces
39A70 Difference operators
47A10 Spectrum and resolvent of linear operators

Keywords: difference operator; fine spectrum; sequence spaces; Mercerian theorem

Cited in: Zbl 1124.47024 Zbl 1098.39013

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