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Journals / Konuralp Journal of Mathematics / 2022 / Volume: 10 Issue: 2

Some Spectrum Estimates of the $ \alpha q$-Cesaro Matrices with $0<\alpha ,q<1$ on $c_{0}$

Merve Esra Türkay(Cumhuriyet University Faculty of Science Department of Mathematics)0000-0003-4429-2685
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Publication Date
2022-10-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The main purpose of the this paper is to investigate the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the genaralized $\alpha q$-Ces\`{a}ro matrix $% C_{q}^{\alpha }$ with $\alpha ,q\in \left( 0,1\right) $ on the sequence space $c_{0}$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of the this paper is to investigate the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the genaralized $\alpha q$-Ces\`{a}ro matrix $% C_{q}^{\alpha }$ with $\alpha ,q\in \left( 0,1\right) $ on the sequence space $c_{0}$.
📊
Key Findings & Data:The main purpose of the this paper is to investigate the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the genaralized $\alpha q$-Ces\`{a}ro matrix $% C_{q}^{\alpha }$ with $\alpha ,q\in \left( 0,1\right) $ on the sequence space $c_{0}$.
💡
Conclusion & Impact:The main purpose of the this paper is to investigate the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the genaralized $\alpha q$-Ces\`{a}ro matrix $% C_{q}^{\alpha }$ with $\alpha ,q\in \left( 0,1\right) $ on the sequence space $c_{0}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q-Hausdorff matrices · Lower bound problem · q-Cesaro matrices

Abstract

The main purpose of the this paper is to investigate the spectrum, the fine spectrum, the approximate point spectrum, the defect spectrum, and the compression spectrum of the genaralized $\alpha q$-Ces\`{a}ro matrix $% C_{q}^{\alpha }$ with $\alpha ,q\in \left( 0,1\right) $ on the sequence space $c_{0}$.

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Cite This Article

Türkay, M. E. (2022). Some Spectrum Estimates of the $ \alpha q$-Cesaro Matrices with $0<\alpha ,q<1$ on $c_{0}$. Konuralp Journal of Mathematics, Volume: 10 Issue: 2. https://ajindex.com/articles/1521549

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