States on families of subspaces of pre-Hilbert spaces

DOI10.1007/BF00420009zbMath0696.46023OpenAlexW1989155588MaRDI QIDQ910662

Anatolij Dvurečenskij

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf00420009

zbMATH Keywords

axiomatic model of quantum mechanicscompletely additive state

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (6)

Gleason's theorem and completeness criteria ⋮ A signed measure completeness criterion ⋮ Bibliography on quantum logics and related structures ⋮ Quantum logics and completeness criteria of inner product spaces ⋮ Regular measures and inner product spaces ⋮ Orthogonality spaces and atomistic orthocomplemented lattices

Cites Work

• Unnamed Item
• Completeness of inner product spaces with respect to splitting subspaces
• Completeness of inner product spaces and quantum logic of splitting subspaces
• State on splitting subspaces and completeness of inner product spaces
• Gleason's theorem and completeness of inner product spaces
• A Completeness Criterion for Inner Product Spaces
• Inner Product Spaces

This page was built for publication: States on families of subspaces of pre-Hilbert spaces