Nonstandard hulls of ordered vector spaces
POSITIVITY, cilt.20, sa.2, ss.413-433, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s11117-015-0364-2
- Dergi Adı: POSITIVITY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.413-433
- Anahtar Kelimeler: Ordered vector space, Krein space, Nonstandard extension, Nonstandard hull, LATTICES
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
This paper undertakes the investigation of ordered vector spaces by applying nonstandard analysis. We introduce and study two types of nonstandard hulls of ordered vector spaces. Norm-nonstandard hulls of ordered Banach spaces are also investigated.