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On the fine spectra of the difference operator \(\Delta\) over the sequence space \(\ell_p\) \((1\leq p<\infty)\). (English) Zbl 1118.47303
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.

MSC:
47A10 Spectrum, resolvent
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47B39 Linear difference operators
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