A finitely additive state criterion for the completeness of inner product spaces

DOI10.1023/A:1025757419340zbMath1041.46014OpenAlexW128283828MaRDI QIDQ1425063

Emmanuel Chetcuti, Anatolij Dvurečenskij

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1023/a:1025757419340

zbMATH Keywords

Hilbert spacefinitely additive stateorthogonally closed subspaceinner product space (pre-Hilbert space)completion of inner product space

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)

Related Items (4)

Orthosystems of submodules of a module ⋮ Unnamed Item ⋮ Recent progress on pre-Hilbert-space logics and their measure spaces ⋮ Only ‘free’ measures are admissable on 𝐹(𝑆) when the inner product space 𝑆 is incomplete

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