Real orthogonal projections as quantum logic

DOI10.1007/s10773-017-3387-6zbMath1387.81025OpenAlexW2609337057MaRDI QIDQ682653

Marjan Matvejchuk

Publication date: 5 February 2018

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-017-3387-6

zbMATH Keywords

Hilbert spaceidempotentprojectionpartial orderlogicsemi-orthogonality

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (3)

Probability measure on real-orthogonal projections ⋮ Strong projections in Hilbert space and quantum logic ⋮ Strong rojections in Hilbert space and quantum logic

Cites Work

• Probability measure on conjugation logics
• Projections in Krein spaces
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Unitary self-adjoint logics of projections
• On semi-orthogonality and a special class of matrices
• Gleason's theorem in \(W^*J\)-algebras in spaces with indefinite metric
• Idempotents in a space with conjugation
• Real-Orthogonal Projections as Quantum Pseudo-Logic

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