Nonstandard hulls of ordered vector spaces

DOI10.1007/S11117-015-0364-2zbMath1348.46075OpenAlexW2219234532MaRDI QIDQ291990

Hasan Gül, Eduard Yu. Emel'yanov

Publication date: 10 June 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/11511/25569

zbMATH Keywords

Krein spacenonstandard hullenlargemento-completionorder-finite elementorder-infinitesimal, o-convergence

Mathematics Subject Classification ID

Nonstandard functional analysis (46S20) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

\(o\tau \)-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces ⋮ Nonstandard hulls of lattice-normed ordered vector spaces

Cites Work

• Invariant homomorphisms of nonstandard extensions of Boolean algebras and vector lattices
• The infinitesimal approach to the representation of vector lattices by spaces of continuous functions on a compactum
• On property (b) of vector lattices
• Nonstandard hulls of vector lattices
• Infinitesimal analysis and vector lattices
• On the notion of stability of order convergence in vector lattices
• The order and regular hulls of Riesz spaces
• Banach-Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces
• Non-standard analysis
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