Probabilistic aspects of von Neumann algebras

DOI10.1016/0022-1236(79)90058-2zbMath0399.46048OpenAlexW2083556748MaRDI QIDQ1254711

A. R. Padmanabhan

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90058-2

zbMATH Keywords

Spectral ProjectionsFinite TraceNon Neumann AlgebraNormal Operators Converging In MeasureOperator-Theoretic InequalityWeak Convergence of Distributions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Probability theory on algebraic and topological structures (60B99)

Related Items

Convergence of integrable operators affiliated to a finite von Neumann algebra ⋮ Some kinds of uniform integrability and laws of large numbers in noncommutative probability ⋮ Convergence of weighted averages of noncommutative martingales ⋮ Properties of Segal's entropy for quantum systems ⋮ Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators

Cites Work

• Unnamed Item
• A non-commutative extension of abstract integration
• Integration Theorems For Gages and Duality for Unimodular Groups
• Convergence in Measure and Related Results in Finite Rings of Operators
• Conditional expectation in an operator algebra. IV. Entropy and information
• Information and Sufficient Sub-fields