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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

On almost 2-normed vector lattices

Bahri TURAN
Fatma BİLİCİ
Pages
1094–1101
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ 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., BİLİCİ, F. (2022). On almost 2-normed vector lattices. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1094–1101. https://ajindex.com/articles/529878

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References (8)

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