A nonstandard representation of measurable spaces and 𝐿_{∞}

DOI10.1090/S0002-9904-1971-12745-3zbMath0228.26016MaRDI QIDQ5635652

Peter A. Loeb

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Nonstandard analysis (26E35)

Related Items (6)

Integration with filters ⋮ Direct hyperfinite representations of finitely additive probabilities ⋮ Star-Finite Representations of Measure Spaces ⋮ Radon-Nikodym theorem in signed Loeb space ⋮ On the Nonstandard Representation of Measures ⋮ On abstract economies with an arbitrary set of players and action sets in locally-convex topological vector spaces

Cites Work

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• The group of isometries of \(H^p\)
• Lectures on non-standard analysis
• Finitely Additive Measures

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