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Journals / Gazi University Journal of Science / 2026 / Volume: 28 Issue: 1

Completion of Vector Metric Spaces

Cüneyt Çevik
Pages
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Publication Date
2015-02-23
DOI
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AI Summary & Key Takeaways

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

The completion spaces are defined by means of an equivalence relation obtained by order convergence via the module of the Riesz space E .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study a completion theorem for vector metric spaces is proved.
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Key Findings & Data:In this study a completion theorem for vector metric spaces is proved.
💡
Conclusion & Impact:The completion spaces are defined by means of an equivalence relation obtained by order convergence via the module of the Riesz space E .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Vector metric space · order-Cauchy sequence · order-Cauchy completion

Abstract

In this study a completion theorem for vector metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by order convergence via the module of the Riesz space E .

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Cite This Article

Çevik, C. (2015). Completion of Vector Metric Spaces. Gazi University Journal of Science, Volume: 28 Issue: 1. https://ajindex.com/articles/1269622

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