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A general Fatou Lemma

✍ Scribed by Peter A. Loeb; Yeneng Sun

Book ID: 108051544
Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 262 KB
Volume: 213
Category: Article
ISSN: 0001-8708
DOI: 10.1016/j.aim.2007.01.008

No coin nor oath required. For personal study only.

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A version of an approximate Fatou Lemma for a uniformly integrable sequence of functions with values in a reflexive Banach space is proved. The usual assumption that this sequence is pointwisely dominated in norm by a real valued integrable function is omitted.