Nonstandard hulls of ordered vector spaces

EMELYANOV E., Gul H.

POSITIVITY, vol.20, no.2, pp.413-433, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s11117-015-0364-2
  • Journal Name: POSITIVITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.413-433
  • Keywords: Ordered vector space, Krein space, Nonstandard extension, Nonstandard hull, LATTICES
  • Middle East Technical University Affiliated: Yes

Abstract

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.