Subspaces of the Nonstandard Hull of a Normed Space

DOI10.2307/1996931zbMath0307.46008OpenAlexW4250512986MaRDI QIDQ4064517

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

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996931

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Duality and reflexivity in normed linear and Banach spaces (46B10) Nonstandard models (03H99)

Related Items

The fixed point property in \(JB^*\)-triples and preduals of \(JBW^*\)-triples ⋮ Ultrapowers and Local Properties of Banach Spaces ⋮ Nonstandard Extensions of Transformations Between Banach Spaces ⋮ Extensions of smooth mappings into biduals and weak continuity ⋮ Approximately finite-dimensional Banach spaces ⋮ Approximately finite-dimensional Banach 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 ⋮ Hyperfinite Extensions of Bounded Operators on a Separable Hilbert Space

Cites Work

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• On a Convexity Condition in Normed Linear Spaces
• Super-Reflexive Banach Spaces
• The Nonstandard Theory of Topological Vector Spaces
• Super-reflexive spaces with bases