When do two Banach spaces have isometrically isomorphic nonstandard hulls

DOI10.1007/BF02757274zbMath0314.46023MaRDI QIDQ1220695

C. Ward Henson

Publication date: 1975

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

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Nonstandard models (03H99)

Related Items

The Hanf Number of the First Order Theory of Banach Spaces, Unnamed Item, Nonstandard Extensions of Transformations Between Banach Spaces, The strength of the isomorphism property, Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe, A theorem on the isomorphism property, On the maximality of logics with approximations, Tameness in generalized metric structures, Encoding complete metric structures by classical structures, Approximately finite-dimensional Banach spaces, Approximately finite-dimensional Banach spaces, Type two cuts, bad cuts and very bad cut, An omitting types theorem for positive bounded formulas in normed spaces, Nonstandard hulls of Banach spaces, Categoricity in homogeneous complete metric spaces

Cites Work

• Nonstandard hulls of the classical Banach spaces
• Every two elementarily equivalent models have isomorphic ultrapowers
• The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces
• Subspaces of the Nonstandard Hull of a Normed Space
• A note on topological model theory
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• The Nonstandard Theory of Topological Vector Spaces
• Non-standard analysis
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