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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

A lexicographical order induced by Schauder bases

Neşet Özkan Tan
Sayfa
511–515
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Indeed, this order can be considered as a lexicographical order since it is a generalization of lexicographical order in $\mathbb{R}^{n}.$ We also provide order structural properties of the order by approaching geometrical (cone) sense.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we show that every Banach space with a Schauder basis can be seen as a totally ordered vector space.
📊
Temel Bulgular & Veri:In this paper, we show that every Banach space with a Schauder basis can be seen as a totally ordered vector space.
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Sonuç & Katkı:Indeed, this order can be considered as a lexicographical order since it is a generalization of lexicographical order in $\mathbb{R}^{n}.$ We also provide order structural properties of the order by approaching geometrical (cone) sense.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:total order · cone · Schauder basis

Abstract

In this paper, we show that every Banach space with a Schauder basis can be seen as a totally ordered vector space. Indeed, this order can be considered as a lexicographical order since it is a generalization of lexicographical order in $\mathbb{R}^{n}.$ We also provide order structural properties of the order by approaching geometrical (cone) sense.

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Bu Makaleye Atıf Yap

Tan, N. Ö. (2022). A lexicographical order induced by Schauder bases. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 511–515. https://ajindex.com/articles/529519

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