A lexicographical order induced by schauder bases
Hacettepe Journal of Mathematics and Statistics, cilt.50, sa.2, ss.511-515, 2021 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.15672/hujms.659795
- Dergi Adı: Hacettepe Journal of Mathematics and Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.511-515
- Anahtar Kelimeler: total order, cone, Schauder basis
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Uşak Üniversitesi Adresli: Evet
Özet
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 Rn. We also provide order structural properties of the order by approaching geometrical (cone) sense.