The existence of finitely additive states on orthogonally closed subspaces of incomplete inner product spaces

DOI10.1023/B:MATH.0000027689.98266.48zbMath1060.46017MaRDI QIDQ1827443

Emmanuel Chetcuti, Anatolij Dvurečenskij

Publication date: 6 August 2004

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

zbMATH Keywords

Hilbert spaceinner product spacefinitely additive stateorthogonally closed subspacecompletion of inner product spaces

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

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Recent progress on pre-Hilbert-space logics and their measure spaces ⋮ Subspace structures in inner product spaces and von Neumann algebras

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