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Journals / Avrupa Bilim ve Teknoloji Dergisi / 2026 / Sayı: 34 Özel Sayı

Weak stability of 𝜺-isometry Mapping on Real Banach Spaces

Minanur Rohman(ONDOKUZ MAYIS UNIVERSITY)0000-0003-0941-3787
İlker Eryılmaz(ONDOKUZ MAYIS UNIVERSITY)0000-0002-3590-892X
Pages
110–114
Publication Date
2022-03-31
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AI Summary & Key Takeaways

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

Using this weak stability, there is a bounded linear left-inverse for non-surjective 𝜀-isometry.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The stability of standard 𝜀-isometry mapping in real Banach spaces cannot be determined without using the assumption of surjectivity.
📊
Key Findings & Data:However, this mapping remains weakly stable under weak topology.
💡
Conclusion & Impact:Using this weak stability, there is a bounded linear left-inverse for non-surjective 𝜀-isometry.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:𝜀-isometry · Banach space · stability

Abstract

The stability of standard 𝜀-isometry mapping in real Banach spaces cannot be determined without using the assumption of surjectivity. However, this mapping remains weakly stable under weak topology. Using this weak stability, there is a bounded linear left-inverse for non-surjective 𝜀-isometry.

Özet

The stability of standard 𝜀-isometry mapping in real Banach spaces cannot be determined without using the assumption of surjectivity. However, this mapping remains weakly stable under weak topology. Using this weak stability, there is a bounded linear left-inverse for non-surjective 𝜀-isometry.

🔖

Cite This Article

Rohman, M., Eryılmaz, İ. (2022). Weak stability of 𝜺-isometry Mapping on Real Banach Spaces. Avrupa Bilim ve Teknoloji Dergisi, Sayı: 34 Özel Sayı, 110–114. https://doi.org/10.31590/ejosat.1076318

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