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Fatou lemma for the Pettis integral

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Publication:1277118
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DOI10.5565/PUBLMAT_42198_02zbMath0933.28005MaRDI QIDQ1277118

Allal Amrani

Publication date: 21 March 2000

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41334


zbMATH Keywords

multifunctionsFatou's lemmaPettis integrable functions


Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)


Related Items (7)

Birkhoff integral for multi-valued functions ⋮ The Pettis integral for multi-valued functions via single-valued ones ⋮ A strong law of large numbers for non identically distributed Pettis integrable random sets in a general Banach space ⋮ Convergence theorems for Pettis integrable functions and regular methods of summability ⋮ Unnamed Item ⋮ Measurable selectors and set-valued Pettis integral in non-separable Banach spaces ⋮ The finitely additive integral of multifunctions with closed and convex values






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