States on W ∗ -Algebras and Orthogonal Vector Measures

DOI10.2307/2047924zbMath0743.46063OpenAlexW4249925886MaRDI QIDQ4712003

Jan Hamhalter

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2307/2047924

zbMATH Keywords

orthogonal vector measurestate on a \(W^*\)-algebratransition probability between two states

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) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) States of selfadjoint operator algebras (46L30)

Related Items (4)

Extension theorems (vector measures on quantum logics) ⋮ Measures on projections in a \(W^\ast\)-algebra of type \(I_2\) ⋮ Bibliography on quantum logics and related structures ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018)

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