Nonstandard hulls of ordered vector spaces

EMELYANOV E., Gul H.

POSITIVITY, cilt.20, sa.2, ss.413-433, 2016 (SCI-Expanded) identifier identifier

  • 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.