If supX∈S ||X||p < ∞ for some p > 1, then S is uniformly integrable.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 31E: 31. Prove statement of Theorem : for all integers and .
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If supXS ||X||p < ∞ for some p > 1, then S is uniformly integrable.

 

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