Johnson-Schechtman and Khinchine inequalities in noncommutative probability theory
classification
🧮 math.PR
keywords
inequalitiesnoncommutativekhinchineprovedisjointificationindependentjohnsonjohnson-schechtman
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We prove disjointification inequalities due to Johnson and Schechtman for noncommutative random variables independent in the sense of Junge and Xu. In the same setting, we also prove noncommutative Khinchine inequalities. These inequalities are proved both for symmetric operator spaces and for modulars.
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