Strong laws of large numbers in von Neumann algebras

DOI10.1007/S10474-012-0199-2zbMath1265.46098OpenAlexW2101574114MaRDI QIDQ2276538

K. Klimczak

Publication date: 6 November 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-012-0199-2

zbMATH Keywords

von Neumann algebralaw of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15) Noncommutative probability and statistics (46L53)

Related Items (6)

Some strong limit theorems for weighted sums of measurable operators ⋮ Some kinds of uniform integrability and laws of large numbers in noncommutative probability ⋮ The degenerate convergence criterion and Feller's weak law of large numbers for double arrays in noncommutative probability ⋮ Chung-type strong laws and almost complete convergence for arrays of measurable operators ⋮ The strong laws of large numbers for positive measurable operators and applications ⋮ Mean convergence theorems and weak laws of large numbers for arrays of measurable operators under some conditions of uniform integrability

Cites Work

• Strong limit theorems in non-commutative probability
• Notes on non-commutative integration
• A non-commutative extension of abstract integration
• Laws of large numbers in von Neumann algebras and related results
• An elementary proof of the strong law of large numbers
• Non-commutative L^P-spaces
• The strong law of large numbers for states and traces of aW*-algebra

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