A counterexample and an exact version of Fatou's lemma in infinite dimensional spaces

DOI10.1007/BF01194410zbMath0659.46045WikidataQ124803010 ScholiaQ124803010MaRDI QIDQ1112294

Aldo Rustichini

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Fatou's lemmaseparable Banach spaceapproximate version of Fatou's lemma in infinite dimensional spacesfinite, atomless, complete measure spaceintegration of correspondences

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

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Cites Work

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• Equilibria in noncooperative models of competition
• A note on Fatou's lemma in several dimensions
• Convex analysis and measurable multifunctions
• Integrals of set-valued functions
• On fixed point theorems for random set-valued maps
• Fatou's Lemma in Several Dimensions
• On Fatou's Lemma in several dimensions
• On the integration of set-valued mappings in a Banach space

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