On Gleason's theorem without Gleason

DOI10.1007/s10701-008-9265-6zbMath1175.81005OpenAlexW2012089641MaRDI QIDQ735185

Anatolij Dvurečenskij, David Buhagiar, Emmanuel Chetcuti

Publication date: 21 October 2009

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-008-9265-6

zbMATH Keywords

Hilbert spacestatetrace operatorGleason's theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (6)

Pattern recognition in non-Kolmogorovian structures ⋮ A discussion on the origin of quantum probabilities ⋮ On the lattice structure of probability spaces in quantum mechanics ⋮ Quaternionic quantum dynamics on complex Hilbert spaces ⋮ Quasi-state rigidity for finite-dimensional Lie algebras ⋮ Quantal effects and MaxEnt

Cites Work

• A constructive proof of Gleason's theorem
• On states on orthogonally closed subspaces of an inner product space
• An elementary proof of Gleason's theorem
• A Completeness Criterion for Inner Product Spaces
• THE STATE-SPACE OF THE LATTICE OF ORTHOGONALLY CLOSED SUBSPACES
• Only ‘free’ measures are admissable on 𝐹(𝑆) when the inner product space 𝑆 is incomplete
• On the Problem of Hidden Variables in Quantum Mechanics
• Quantum measure theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Gleason's theorem without Gleason