The Nonstandard Theory of Topological Vector Spaces

DOI10.2307/1996360zbMath0254.46001OpenAlexW4256362609MaRDI QIDQ5669295

C. Ward Henson, L. C. jun. Moore

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996360

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Duality and reflexivity in normed linear and Banach spaces (46B10) Nonstandard analysis (26E35) Nonstandard topology (54J05) Nonstandard models (03H99)

Related Items

Fixed points in the nonstandard hull of a Banach space, Nonstandard integration theory in topological vector lattices, Ultrapowers and Local Properties of Banach Spaces, Nonstandard Extensions of Transformations Between Banach Spaces, Examples of new nonstandard hulls of topological vector spaces, Approximately finite-dimensional Banach spaces, Approximately finite-dimensional Banach spaces, Prevarieties and intertwined completeness of locally convex spaces, When do two Banach spaces have isometrically isomorphic nonstandard hulls, Towards the fixed point property for superreflexive spaces, On the super fixed point property in product spaces, Nonstandard hulls of Banach spaces, Neocompact sets and the fixed point property, Subspaces of the Nonstandard Hull of a Normed Space, The Monad System of the Finest Compatible Uniform Structure, Uniform logical new proofs for the Daniell-Stone theorem and the Riesz representation theorem, Hyperfinite Extensions of Bounded Operators on a Separable Hilbert Space

Cites Work

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• The nonstandard hulls of a uniform space
• A proof that every uniformly convex space is reflexive
• Characterizations of reflexivity
• Uniformly Convex Spaces