The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces

DOI10.2307/2272856zbMath0306.02055OpenAlexW2047612490MaRDI QIDQ4063441

C. Ward Henson

Publication date: 1975

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2272856

Mathematics Subject Classification ID

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

Related Items

Special Model Axiom in Nonstandard Set Theory ⋮ Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe ⋮ Corrigendum to: ``On separably injective Banach spaces ⋮ Analytic Mappings on Hyperfinite Sets ⋮ Approximately finite-dimensional Banach spaces ⋮ Approximately finite-dimensional Banach spaces ⋮ Game sentences and ultrapowers ⋮ When do two Banach spaces have isometrically isomorphic nonstandard hulls ⋮ The generic filter property in nonstandard analysis ⋮ Nonstandard hulls of Banach spaces ⋮ The Banach spaces \(l_ p(n)\) for large p and n ⋮ Locally convex infinitesimal calculus. 2. Computations on Mackey \((\ell^{\infty})\) ⋮ Distinguishing three strong saturation properties in nonstandard analysis ⋮ Combinatorial principles in nonstandard analysis

Cites Work

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• On reflexive spaces having the metric approximation property
• The structure of weakly compact sets in Banach spaces
• The \(L_ p\) spaces
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• Non-standard analysis