“…The spectra of C 1 have been investigated in various Banach sequence spaces. For instance, we mention ℓ p (1 < p < ∞), [22,23,30,40], c 0 [1,40,51], c [40], ℓ ∞ [50,51], the Bachelis spaces N p (1 < p < ∞) [25], bv and bv 0 [47,48], weighted ℓ p spaces [6,8], the discrete Cesàro spaces ces(p) (for p ∈ {0}∪(1, ∞)), [24], and their dual spaces d s (1 < s < ∞), [19]. For the class of generalized Cesàro operators C t , for t ∈ (0, 1), a study of their spectra and compactness properties (in ℓ 2 ) go back to Rhaly, [52,53].…”