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Fatou's lemma in infinite dimensions

✍ Scribed by Erik J Balder

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
767 KB
Volume
136
Category
Article
ISSN
0022-247X

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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.