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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 3 > No. 3


Spectrum and Fine Spectrum Generalized Difference Operator Over The Sequence Space ℓ1

PP: 215-221
Ali Karaisa,
In this paper, we examined the fine spectrum of upper triangular double-band matrices over the sequence spaces ℓ1. Also, we determined the point spectrum, the residual spectrum and the continuous spectrum of the operator A(er,es) on ℓ1. Further, we derived the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator A(er,es) over the space ℓ1.

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