Nonstandard hulls of ordered vector spaces

Date

2016-06-01

Author

Emelyanov, Eduard

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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.

Subject Keywords

Ordered vector space, Krein space, Nonstandard extension, Nonstandard hull, LATTICES

URI

https://hdl.handle.net/11511/40572

Journal

POSITIVITY

DOI

https://doi.org/10.1007/s11117-015-0364-2

Collections

Department of Mathematics, Article

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Citation Formats

E. Emelyanov, “Nonstandard hulls of ordered vector spaces,” POSITIVITY, pp. 413–433, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40572.