Convergences in \(W^ *\)-algebras

DOI10.1016/0022-1236(86)90086-8zbMath0612.46060OpenAlexW2089683197MaRDI QIDQ1088130

Adam Paszkiewicz

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90086-8

zbMATH Keywords

lattice of projectionsfaithful normal statealmost uniformlyclosely on large setsnearly everywherequasi-uniformlysequence of observables

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Axioms; other general questions in probability (60A05)

Related Items (8)

Almost everywhere convergence for noncommutative spaces ⋮ On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces ⋮ On the almost sure approximation of self-adjoint operators in L₂ (0, 1) ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ On noncommutative weighted local ergodic theorems on \(L^p\)-spaces ⋮ A limit in probability in a \(W^*\)-algebra is unique ⋮ Convergences in JW-algebras and in their enveloping von Neumann algebras ⋮ Orthogonal forms and transition probability in von Neumann algebras

Cites Work

• Quasi-Uniform Ergodic Theorems in von Neumann Algebras
• The strong law of large numbers for states and traces of aW*-algebra
• Two Subspaces
• Theory of operator algebras I.
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