Maximal inequalities in noncommutative probability spaces

DOI10.1080/17442508.2021.1916021zbMath1501.46054arXiv2004.10259OpenAlexW3019944275MaRDI QIDQ5086903

Ghadir Sadeghi, Ali Talebi, Mohammad Sal Moslehian

Publication date: 8 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10259

zbMATH Keywords

symmetrizationmaximal inequalitynoncommutative probability spacetensor independencenoncommutative Lévy inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation and \(\Phi \)-moment inequalities of noncommutative martingales
• Exact Rosenthal-type bounds
• Noncommutative stochastic integration through decoupling
• Notes on non-commutative integration
• Etemadi and Kolmogorov inequalities in noncommutative probability spaces
• On the Maximal Lévy–Ottaviani Inequality for Sums of Independent and Dependent Random Vectors
• Exponential convergence rates for weighted sums in noncommutative probability space
• A characterization of a new type of strong law of large numbers
• Laws of large numbers in von Neumann algebras and related results
• Uniformly bounded representations of free groups.
• Non-commutative L^P-spaces
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• Noncommutative Blackwell–Ross martingale inequality
• A quantum-mechanical central limit theorem