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Journals / Gazi University Journal of Science / 2026 / Volume: 38 Issue: 2

Basic Properties of Tempered ν-Sequence Spaces

Minanur Rohman0000-0003-0941-3787
İlker Eryılmaz(ONDOKUZ MAYIS UNIVERSITY)0000-0002-3590-892X
Nihat Altınışık(ONDOKUZ MAYIS UNIVERSITY)0000-0002-8914-4240
Moh. Nurul Huda0000-0003-3952-2706
Eduardus Beo Seso Delvion0009-0006-0792-7513
Pages
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Publication Date
2025-06-01
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AI Summary & Key Takeaways

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

The direct implication is that some tempered ν-sequence spaces have a Schauder basis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we will introduce tempered ν-sequence spaces generated by directed preserving generator ν.
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Key Findings & Data:After building the spaces, we investigate and show tempered ν-sequence spaces are Banach spaces.
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Conclusion & Impact:The direct implication is that some tempered ν-sequence spaces have a Schauder basis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Directed preserving generator · Tempering sequence · Banach space

Abstract

In this paper, we will introduce tempered ν-sequence spaces generated by directed preserving generator ν. After building the spaces, we investigate and show tempered ν-sequence spaces are Banach spaces. In addition, we also find that there is an isomorphism between tempered ν-sequence spaces and the classical one. The direct implication is that some tempered ν-sequence spaces have a Schauder basis.

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Cite This Article

Rohman, M., Eryılmaz, İ., Altınışık, N., Huda, M. N., Delvion, E. B. S. (2025). Basic Properties of Tempered ν-Sequence Spaces. Gazi University Journal of Science, Volume: 38 Issue: 2. https://doi.org/10.35378/gujs.1403424

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