Locally convex infinitesimal calculus. 2. Computations on Mackey \((\ell^{\infty})\)

DOI10.1016/0022-1236(83)90043-5zbMath0533.46048OpenAlexW2028824670MaRDI QIDQ789689

Keith Stroyan

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90043-5

zbMATH Keywords

nonstandard analysisinfinitesimalMackey topologylocally convex differentiation

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Mathematical economics (91B99) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Nonstandard functional analysis (46S20) Nonstandard analysis (26E35)

Related Items (1)

Function spaces, cartesian closedness and nonstandard methods

Cites Work

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• Myopic utility functions on sequential economies
• Differential calculus in locally convex spaces
• Strict, weighted, and mixed topologies and applications
• The bounded weak-star topology and the bounded analytic functions
• A characterization of the Mackey uniformity \(m(L^\infty,L^1)\) for finite measures
• Invariance of the nonstandard hulls of locally convex spaces
• Myopic Economic Agents
• The isomorphism property in nonstandard analysis and its use in the theory of Banach spaces
• Infinitesimal Calculus on Locally Convex Spaces: 1. Fundamentals
• Stationary Utility and Time Perspective
• The Strict Topology and Compactness in the space of Measures. II

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