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Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 2

2-quasi-$lambda$-nuclear maps

W SHATANAWI
Pages
157–167
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

For a nuclear $G_{infty}$ -space, we prove that a linear map T between normed spaces is 2-quasi-$lambda$ -nuclear if and only if it is quasi-$lambda$ -nuclear

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we generalize the well-known result which says that the composition of quasi-nuclear maps is nuclear.
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Key Findings & Data:More precisely, we define what we call a 2-quasi-$lambda$ -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-$lambda$ -nuclear map with a quasi- $lambda$ -nuclear map is a pseudo-$lambda$ -nuclear map.
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Conclusion & Impact:For a nuclear $G_{infty}$ -space, we prove that a linear map T between normed spaces is 2-quasi-$lambda$ -nuclear if and only if it is quasi-$lambda$ -nuclear
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we generalize the well-known result which says that the composition of quasi-nuclear maps is nuclear. More precisely, we define what we call a 2-quasi-$lambda$ -nuclear map between normed spaces, and we prove that the composition of a 2-quasi-$lambda$ -nuclear map with a quasi- $lambda$ -nuclear map is a pseudo-$lambda$ -nuclear map. Also, we prove that a quasi-$lambda$ -nuclear map is a 2-quasi-$lambda$ -nuclear map. For a nuclear $G_{infty}$ -space, we prove that a linear map T between normed spaces is 2-quasi-$lambda$ -nuclear if and only if it is quasi-$lambda$ -nuclear

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Cite This Article

SHATANAWI, W. (2022). 2-quasi-$lambda$-nuclear maps. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 2, 157–167. https://ajindex.com/articles/608744

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References (8)

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