Some kinds of uniform integrability and laws of large numbers in noncommutative probability

DOI10.1007/s10959-017-0740-xzbMath1403.46052OpenAlexW2584796425MaRDI QIDQ1661601

Do The Son, Nguyen Van Quang, Le Hong Son

Publication date: 16 August 2018

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-017-0740-x

zbMATH Keywords

von Neumann algebralaw of large numbersuniform integrabilitymeasurable operatorbilateral almost uniform convergence

Mathematics Subject Classification ID

Strong limit theorems (60F15) Noncommutative probability and statistics (46L53) (L^p)-limit theorems (60F25)

Related Items (4)

Mixing sequences, and mixingales in quantum probability spaces ⋮ Some strong limit theorems for weighted sums of measurable operators ⋮ Chung-type strong laws and almost complete convergence for arrays of measurable operators ⋮ Mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions of uniform integrability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of weighted averages of noncommutative martingales
• The degenerate convergence criterion and Feller's weak law of large numbers for double arrays in noncommutative probability
• Strong limit theorems in non-commutative probability
• Cesàro \(\alpha\)-integrability and laws of large numbers. II
• Probabilistic aspects of von Neumann algebras
• Some weak laws of large numbers in noncommutative probability
• Cesàro \({\alpha}\)-integrability and laws of large numbers. I
• Convergence rates for weighted sums in noncommutative probability space
• Strong laws of large numbers in von Neumann algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Kadec–Pełczyński decomposition for Haagerup L^p-spaces

This page was built for publication: Some kinds of uniform integrability and laws of large numbers in noncommutative probability