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Fatou's lemma for Gelfand integrable mappings

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Publication:1863744
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DOI10.1023/A:1020292302718zbMath1027.28016MaRDI QIDQ1863744

Jean-Philippe Médecin, Bernard Cornet

Publication date: 12 March 2003

Published in: Positivity (Search for Journal in Brave)


zbMATH Keywords

Banach spacedual spaceGelfand integralmeasure spaceFatou lemmaweak-star integral


Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Vector-valued measures and integration (46G10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)


Related Items (4)

An exact Fatou lemma for Gelfand integrals: a characterization of the Fatou property ⋮ A general Fatou lemma ⋮ Pure strategy Markov equilibrium in stochastic games with a continuum of players. ⋮ Convergences in a dual space with applications to Fatou lemma




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