Martingale convergence in von Neumann algebras

DOI10.1017/S0305004100054864zbMath0398.46051MaRDI QIDQ4183252

Christopher Lance

Publication date: 1978

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

MartingaleSemifinite Von Neumann AlgebraAlmost Uniform ConvergenceFaithful Normal RetractionMartingale Convergence Theorem

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (6)

Strong Martingale Convergence of Generalized Conditional Expectations on Von Neumann Algebras ⋮ Relative and quasi-entropies in semifinite von Neumann algebras ⋮ Continuity of a quantum stochastic process ⋮ Strong Convergence of Martingales in von Neumann Algebras ⋮ Pointwise convergence theorems in \(L_ 2\) over a von Neumann algebra ⋮ Martingale-type convergence of modular automorphism groups on von Neumann algebras

Cites Work

• On the projection of norm one in \(W^*\)-algebras. III
• On hyperfinite factors of type III\(_0\) and Krieger's factors
• Ergodic theorems for convex sets and operator algebras
• Tensor products of operator algebras
• Another look at the martingale theorem
• Conditional expectations in von Neumann algebras
• Martingales on von Neumann algebras
• A non-commutative extension of abstract integration
• Shorter Notes: A Proof of the Martingale Convergence Theorem
• Positive Functions on C ∗ -Algebras

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