Quasi-splitting subspaces and Foulis-Randall subspaces

DOI10.1063/1.3668124zbMath1273.81017OpenAlexW2067339076MaRDI QIDQ2853586

Anatolij Dvurečenskij, David Buhagiar, Emmanuel Chetcuti

Publication date: 16 October 2013

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

Full work available at URL: https://doi.org/10.1063/1.3668124

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Lattices of subspaces and geometric closure systems (51D25) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Related Items (2)

Pre-Hilbert spaces with anomalous splitting and orthogonally-closed subspace structures ⋮ Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space

Cites Work

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• THE STATE-SPACE OF THE LATTICE OF ORTHOGONALLY CLOSED SUBSPACES
• Operational Statistics. I. Basic Concepts
• Quasi‐splitting subspaces in a pre‐Hilbert space
• Only ‘free’ measures are admissable on 𝐹(𝑆) when the inner product space 𝑆 is incomplete
• A remark on Piron's paper

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