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math.FA2020★ 2 cited
Maximal inequalities in quantum probability spaces
Gh. Sadeghi, M. S. Moslehian, A. Talebi
We employ some techniques involving projections in a von Neumann algebra to establish some maximal inequalities such as the strong and weak symmetrization, Levy, Levy-Skorohod, and…
math.FA2018★ 1 cited
A variance bound for a general function of independent noncommutative random variables
Ali Talebi, Mohammad Sal Moslehian
The main purpose of this paper is to establish a noncommutative analogue of the Efron--Stein inequality, which bounds the variance of a general function of some independent random…