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Journals / Conference Proceedings of Science and Technology / 2018 / Cilt: 1 Sayı: 1

Compactness of Matrix Operators on the Banach Space $\ell_p(T)$

Merve İlkhan0000-0002-0831-1474
Emrah Evren Kara0000-0002-6398-4065
Pages
11–15
Publication Date
2018-12-14
DOI
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AI Summary & Key Takeaways

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

In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
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Key Findings & Data:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
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Conclusion & Impact:In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Compact operators · Hausdorff measure of non-compactness · Sequence spaces

Abstract

In this study, by using the Hausdorff measure of non-compactness, we obtain the necessary and sufficient conditions for certain matrix operators on the spaces $\ell_p(T)$ and $\ell_\infty(T)$ to be compact, where $1\leq p<\infty$.

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Cite This Article

İlkhan, M., Kara, E. E. (2018). Compactness of Matrix Operators on the Banach Space $\ell_p(T)$. Conference Proceedings of Science and Technology, Cilt: 1 Sayı: 1, 11–15. https://ajindex.com/articles/984409

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References (11)

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