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Positivity

, Volume 20, Issue 2, pp 413–433 | Cite as

Nonstandard hulls of ordered vector spaces

  • Eduard EmelyanovEmail author
  • Hasan Gül
Article
  • 197 Downloads

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.

Keywords

Ordered vector space Krein space Nonstandard extension Nonstandard hull 

Mathematics Subject Classification

46A40 46B40 

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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Middle East Technical UniversityAnkaraTurkey

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