Orthoposets of extreme points and quantum logics

DOI10.1016/0034-4877(89)90003-7zbMath0712.03048OpenAlexW2075551661MaRDI QIDQ923084

Karsten Keller

Publication date: 1989

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(89)90003-7

zbMATH Keywords

quantum logicordered vector spaceextreme points of order-interval in a vector space

Mathematics Subject Classification ID

Quantum logic (03G12) Ordered topological linear spaces, vector lattices (46A40)

Related Items (4)

Decision effects, the Hahn-Jordan decomposition for states, and their connection to Ludwig's axiomatic approach to quantum mechanics ⋮ Sets of states and extreme points ⋮ Bibliography on quantum logics and related structures ⋮ The lattice and simplex structure of states on pseudo effect algebras

Cites Work

• Quantum logic and operational quantum mechanics
• Symmetries on quantum logics
• Expectation functionals of observables and counters
• Jordan-Hahn decomposition of signed weights on finite orthogonality spaces
• Ordered linear spaces
• Jauch–Piron states
• Orthoposets of Extreme Points of Order-Intervals
• A Radon-Nikodym Theorem in Dimension Lattices
• Theory of operator algebras I.
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