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Zbl 1134.47025
Akhmedov, Ali M.; Başar, F.
The fine spectra of the difference operator $\Delta$ over the sequence space $bv_p$, $(1\leq p<\infty)^*$.
(English)
[J] Acta Math. Sin., Engl. Ser. 23, No. 10, 1757-1768 (2007). ISSN 1439-8516; ISSN 1439-7617/e

The authors find the spectrum of the operator $\Delta = I - S$ acting on the sequence space $b v_{p}$ ($1 \leq p < \infty$), $S$ being the canonical translation operator on $b v_{p}$.
[Petru A. Cojuhari (Kraków)]
MSC 2000:
*47B39 Difference operators (operator theory)
47A10 Spectrum and resolvent of linear operators
47B37 Operators on sequence spaces, etc.

Keywords: spectrum; difference operator; continuous dual; f-dual; sequence space; ad-property

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