Approximately finite-dimensional Banach spaces

DOI10.1016/0022-1236(81)90045-8zbMath0546.46011OpenAlexW2007347376MaRDI QIDQ5896413

L. C. jun. Moore

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90045-8

zbMATH Keywords

ultraproductultrapowernonstandard hullapproximately finite-dimensional Banach spaceshyperfinite-dimensional Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (2)

Model theory of operator algebras III: elementary equivalence and II₁factors ⋮ The Banach spaces \(l_ p(n)\) for large p and n

Cites Work

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• The nonstandard hull of a normed Riesz space
• Nonstandard hulls of the classical Banach spaces
• When do two Banach spaces have isometrically isomorphic nonstandard hulls
• Sous-espaces de \(L^1\)
• The problem of envelopes for Banach spaces
• Nonstandard hulls of Banach spaces
• Hyperfinite-Dimensional Subspaces of the Nonstandard Hull of c 0
• The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces
• Subspaces of the Nonstandard Hull of a Normed Space
• Some applications of model theory in Banach space theory
• Ultrapowers and Local Properties of Banach Spaces
• Ultraproducts in Banach space theory.
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• The Nonstandard Theory of Topological Vector Spaces

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