On states on orthogonally closed subspaces of an inner product space

DOI10.1023/A:1021653216049zbMath1019.81003MaRDI QIDQ1868412

Anatolij Dvurečenskij, Pavel Pták

Publication date: 27 April 2003

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

zbMATH Keywords

Hilbert spaceinner product spacefinitely additive statesplitting subspaceorthogonally closed subspace

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (5)

On complete-cocomplete subspaces of an inner product space. ⋮ Recent progress on pre-Hilbert-space logics and their measure spaces ⋮ Boundedness of sign-preserving charges, regularity, and the completeness of inner product spaces ⋮ On the (non)existence of states on orthogonally closed subspaces in an inner product space ⋮ On Gleason's theorem without Gleason

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