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The fine spectra of the difference operator ${\Delta }$ over the sequence space $b{v}_{p}$, ${\left(1\le p<\infty \right)}^{*}$. (English) Zbl 1134.47025
The authors find the spectrum of the operator ${\Delta }=I-S$ acting on the sequence space $b{v}_{p}$ ($1\le p<\infty$), $S$ being the canonical translation operator on $b{v}_{p}$.
MSC:
 47B39 Difference operators (operator theory) 47A10 Spectrum and resolvent of linear operators 47B37 Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
References:
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