Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2017 / Cilt: 13 - Sayı: 2

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

Pages
359–364
Publication Date
2017-06-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis:Öz El-Shabrawy has introduced the generalized difference operator denoted by .
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Key Findings & Data:Let nonzero real numbers sequences and be convergent sequences such that and The generalized difference operator is with.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Anahtar Kelimeler — Generalized difference operator · approximate point spectrum · defect spectrum

Özet

Öz 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.

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Cite This Article

DURNA, N. (2017). Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 - Sayı: 2, 359–364. https://ajindex.com/articles/35040

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References (1)

  1. Yildirim, M. On the spectrum and fine spectrum of the compact Rhaly operators. Indian J. Pure Appl. Math. 1996; 27, 779-784.