Inequalities for sums of random variables in noncommutative probability spaces

DOI10.1216/RMJ-2016-46-1-309zbMath1357.46057arXiv1406.3220OpenAlexW2964253150MaRDI QIDQ289724

Mohammad Sal Moslehian, Ghadir Sadeghi

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3220

zbMATH Keywords

von Neumann algebranoncommutative Bennett inequalitynoncommutative Hoeffding inequalitynoncommutative probability spacenoncommutative Rosenthal inequality

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Noncommutative probability and statistics (46L53) Random matrices (algebraic aspects) (15B52) Probability theory on linear topological spaces (60B11)

Related Items (7)

Inequalities for positive module operators on von Neumann algebras ⋮ Inequalities for acceptable noncommutative random variables ⋮ Noncommutative Blackwell–Ross martingale inequality ⋮ Tree martingales in noncommutative probability spaces ⋮ A variance bound for a general function of independent noncommutative random variables ⋮ Noncommutative Fuk-Nagaev inequalities and their applications ⋮ Etemadi and Kolmogorov inequalities in noncommutative probability spaces

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