Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l

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Celal Bayar Üniversitesi Fen Bilimleri Dergisi
Volume:13 Issue:2
Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p...

Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1
Authors : Nuh DURNA

Pages : 359-364

Doi:10.18466/cbayarfbe.319876

View : 17 | Download : 15

Publication Date : 2017-06-30

Article Type : Research Paper
Abstract :El-Shabrawy has introduced the generalized difference operator denoted by . Let nonzero real numbers sequences and be convergent sequences such that and The generalized difference operator is with . In this paper we study the approximate point spectrum, the defect spectrum and the compression spectrum of the operator on the p-absolutely summable sequences space .
Keywords : Generalized difference operator, approximate point spectrum, defect spectrum, compression spectrum

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