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math.OA2017★ 9 cited
Etemadi and Kolmogorov inequalities in noncommutative probability spaces
Ali Talebi, Mohammad Sal Moslehian, Ghadir Sadeghi
Based on a maximal inequality type result of Cuculescu, we establish some noncommutative maximal inequalities such as Hajék--Penyi inequality and Etemadi inequality. In addition, w…
math.OA2017★ 5 cited
Noncommutative Blackwell-Ross martingale inequality
Ali Talebi, Mohammad Sal Moslehian, Ghadir Sadeghi
We establish a noncommutative Blackwell--Ross inequality for supermartingales under a suitable condition which generalize Khan's works to the noncommutative setting. We then employ…