A limit in probability in a \(W^*\)-algebra is unique

DOI10.1016/0022-1236(90)90091-XzbMath0821.46081MaRDI QIDQ1813260

Adam Paszkiewicz

Publication date: 25 June 1992

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

zbMATH Keywords

von Neumann algebranoncommutative probabilityfaithful normal stateSegal measurablesequence converging in probability contains a subsequence converging almost uniformly

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (2)

Almost everywhere convergence for noncommutative spaces ⋮ On the almost sure approximation of self-adjoint operators in L₂ (0, 1)

Cites Work

• Unnamed Item
• Strong limit theorems in non-commutative probability
• Convergences in \(W^ *\)-algebras
• Notes on non-commutative integration
• A non-commutative extension of abstract integration
• An Almost Uniform Limit in a W*–Algebra is Unique
• The strong law of large numbers for states and traces of aW*-algebra

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