The Mackey-Gleason Problem
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Publication:4005816
DOI10.1090/S0273-0979-1992-00274-4zbMath0759.46054arXivmath/9204228OpenAlexW1976253516MaRDI QIDQ4005816
J. D. Maitland Wright, Leslie J. Bunce
Publication date: 27 September 1992
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9204228
unique extensioncomplex-valued finitely additive quantum measurefinitely additive \(X\)- valued measurelattice of projections in a von Neumann algebra
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Vector-valued measures and integration (46G10)
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Cites Work
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- Quantum measures and states on Jordan algebras
- Quantum logic, state space geometry and operator algebras
- Measures on projections in \(W^ *\)-factors
- Measures on projections and physical states
- Complex Measures on Projections in Von Neumann Algebras
- Measures on Projections in W*-algebras of Type II1
- Finitely Additive Measures on Projections in Finite W* -Algebras
- An elementary proof of Gleason's theorem
- Continuity and linear extensions of quantum measures on Jordan operator algebras.
- Quasi-States on C ∗ -Algebras
- PROBABILITY MEASURES ON PROJECTIONS IN VON NEUMANN ALGEBRAS
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