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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 47 Issue: 5

On almost 2-normed vector lattices

Bahri Turan(GAZI UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)
Fatma Bilici(GAZI UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)
Pages
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Publication Date
2018-10-16
DOI
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AI Summary & Key Takeaways

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

Then, some theoretical examples and results are given.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we discuss the transformation of a normed vector lattice definition into a 2-normed vector lattice definition and examine the definition of $n$-Banach lattice given by Sağır and Güngör in [A note on $n$-Banach lattices, J.
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Key Findings & Data:We also give definitions of an almost 2-normed vector lattice and an almost 2-Banach lattice.
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Conclusion & Impact:Then, some theoretical examples and results are given.
🔬Design:Research Article
📍Scope:2015 Verileri
⚙️Variables:Normed vector lattice · n-normed space · almost 2-normed vector lattice

Abstract

In this paper, we discuss the transformation of a normed vector lattice definition into a 2-normed vector lattice definition and examine the definition of $n$-Banach lattice given by Sağır and Güngör in [A note on $n$-Banach lattices, J. Appl. Funct. Anal., 2015]. We also give definitions of an almost 2-normed vector lattice and an almost 2-Banach lattice. Then, some theoretical examples and results are given.

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Cite This Article

Turan, B., Bilici, F. (2018). On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 5. https://ajindex.com/articles/1402879

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References (9)

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  6. Luxemburg, W. A. J. and Zaanen, A. C. Riesz spaces I, North-Holland, Amsterdam, 1971.
  7. Sağır, B. and Güngör, N. A note on n-Banach lattices, J. Appl. Funct. Anal. 10, 70-77, 2015.
  8. Schaefer, H.H. Banach lattices and positive operators, Springer, Grundlehren 215, Berlin, 1974.
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