Rosenthal Inequalities in Noncommutative Symmetric Spaces
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چکیده
We give a direct proof of the ‘upper’ Khintchine inequality for a noncommutative symmetric (quasi-)Banach function space with nontrivial upper Boyd index. This settles an open question of C. Le Merdy and the fourth named author [24]. We apply this result to derive a version of Rosenthal’s theorem for sums of independent random variables in a noncommutative symmetric space. As a result we obtain a new proof of Rosenthal’s theorem for (Haagerup) Lp-spaces.
منابع مشابه
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تاریخ انتشار 2011