On some properties of continuous multimeasures

DOI10.1016/0022-247X(80)90088-8zbMath0482.28019OpenAlexW2065569874MaRDI QIDQ1162615

Charles E. jun. Roberts, Richard A. Alò, André de Korvin

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90088-8

zbMATH Keywords

Boolean isomorphismcountably additive multimeasuresRadon- Nikodym theorem for finitely additive multifunctionselector theoremspectral type theorem for a finitely additive multifunction

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)

Related Items (5)

Théorème de Hoffmann-Jørgensen et application aux amarts multivoques. (Hoffmann-Jørgensen's theorem and application to multivalued amarts) ⋮ Goal uncertainty and the supermartingale property in an information feedback loop ⋮ Goal uncertainity in a generalized information system: convergence properties of the estimated expected utilities^∗ ⋮ The Monge-Kantorovich metric on multimeasures and self-similar multimeasures ⋮ On the theory of Banach space valued multifunctions. II: Set valued martingales and set valued measures

Cites Work

• Radon-Nikodym theorems for set-valued measures
• Integrals of set-valued functions
• Multi-applications mesurables à valeurs convexes compactes
• Markets with a Continuum of Traders
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