On a class of valuation fields introduced by A. Robinson

DOI10.1007/BF02756999zbMath0341.12106MaRDI QIDQ1231525

Wilhelmus A. J. Luxemburg

Publication date: 1976

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) General valuation theory for fields (12J20) Nonstandard arithmetic and field theory (12L15)

Related Items

Unbounded Loeb Measures ⋮ On the valuation field invented by A. Robinson and certain structures connected with it ⋮ Unnamed Item ⋮ New non-standard topologies ⋮ Non-Archimedean integrals as limits of complex integrals ⋮ Examples of new nonstandard hulls of topological vector spaces ⋮ An axiomatic approach to the non-linear theory of generalized functions and consistency of Laplace transforms ⋮ Unnamed Item ⋮ Ideals in the Ring of Colombeau Generalized Numbers ⋮ Asymptotic Cones and Ultrapowers of Lie Groups ⋮ Spaces of measurable functions on the Levi-Civita field

Cites Work

• Maximal fields with valuations
• What Is Nonstandard Analysis?
• Allgemeine Bewertungstheorie.
• Function Theory on Some Nonarchimedean Fields
• Non-standard analysis
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