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Fatou’s identity and Lebesgue’s convergence theorem

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Publication:4243712
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DOI10.1090/S0002-9939-99-05099-6zbMath0919.28002MaRDI QIDQ4243712

Heinz-Albrecht Klei

Publication date: 19 May 1999

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


zbMATH Keywords

uniform integrabilityFatou's lemmaLebesgue's theoremFatou's identitymeasure convergent sequencenorm convergent sequence


Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25)


Related Items (3)

A general Fatou lemma ⋮ Fatou's lemma for Sugeno integral ⋮ Fatou's lemma and lower epi-limits of integral functionals




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