Title : ( Maximal inequalities in noncommutative probability spaces )
Authors: Ghadir Sadeghi , Mohammad Sal Moslehian , ali talebi ,
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Abstract
We employ some techniques involving projections in von Neumann algebras to establish some maximal inequalities such as the strong and weak symmetrization, L\\\\\\\'{e}vy, L\\\\\\\'{e}vy--Skorohod, and Ottaviani inequalities in the realm of noncommutative probability spaces. As consequence, we derive the corresponding inequalities in the commutative set-up.
Keywords
Noncommutative L\\\\\\\'{e}vy inequality; noncommutative probability space; tensor independence; symmetrization; maximal inequality
@article{paperid:1084677,
author = {Sadeghi, Ghadir and Sal Moslehian, Mohammad and Talebi, Ali},
title = {Maximal inequalities in noncommutative probability spaces},
journal = {Stochastics-An International Journal of Probability and Stochastic Processes},
year = {2021},
month = {April},
issn = {1744-2508},
pages = {1--14},
numpages = {13},
keywords = {Noncommutative L\\\\\\\'{e}vy inequality; noncommutative probability space; tensor independence; symmetrization; maximal inequality},
}
%0 Journal Article
%T Maximal inequalities in noncommutative probability spaces
%A Sadeghi, Ghadir
%A Sal Moslehian, Mohammad
%A Talebi, Ali
%J Stochastics-An International Journal of Probability and Stochastic Processes
%@ 1744-2508
%D 2021
