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“…In 2012, the fine spectrum of lower triangular triple band matrix ∆ uvw on l 1 is studied by Panigrahi and Srivastava [17] and analogusly, the upper triangular case is studied by Altundag and Abay [18]. The spectrum and fine spectrum of the of the generalised difference operator △ r v over the sequence spaces c 0 and l 1 have been studied by Dutta and Baliarsingh (see [19,20]). In 2017, Birbonshi and Srivastava [21] have studied various spectral properties of n band triangular matrices of constant bands.…”

confidence: 99%

“…In 2012, the fine spectrum of lower triangular triple band matrix ∆ uvw on l 1 is studied by Panigrahi and Srivastava [17] and analogusly, the upper triangular case is studied by Altundag and Abay [18]. The spectrum and fine spectrum of the of the generalised difference operator △ r v over the sequence spaces c 0 and l 1 have been studied by Dutta and Baliarsingh (see [19,20]). In 2017, Birbonshi and Srivastava [21] have studied various spectral properties of n band triangular matrices of constant bands.…”

confidence: 99%

“…Kayaduman and Furkan [5] have determined the fine spectrum of the difference operator Δ over the sequence spaces ℓ 1 and V and on generalizing these results, Srivastava and Kumar [6,7] have determined the fine spectrum of the operator Δ ] over the sequence spaces ℓ 1 and 0 , where (] ) is a sequence of either constant or strictly deceasing sequence of reals satisfying certain conditions. Dutta and Baliarsingh [8][9][10] have computed the spectrum of the operator Δ ] ( ∈ N 0 ) and Δ 2 over the sequence spaces ℓ 1 , 0 , and 0 , respectively. The fine spectrum of the generalized difference operators ( , ) and ( , , ) over the sequence spaces ℓ , V and ℓ 1 , V has been studied by Bilgiç and Furkan [11,12], respectively.…”

confidence: 99%

“…Srivastava and Kumar [8] have examined the fine spectrum of the generalized difference operator Δ ] over the sequence space 0 . Recently, the spectrum of the generalized difference operator Δ ] over the sequence spaces 0 and ℓ 1 has been studied by Dutta and Baliarsingh [9,10], respectively. The main focus of this paper is to define the difference operator Δ ] and establish its spectral characterization with respect to the Goldberg's classifications.…”

confidence: 99%