State on splitting subspaces and completeness of inner product spaces

DOI10.1007/BF00674351zbMath0661.46019MaRDI QIDQ1113049

Sylvia Pulmannová, Anatolij Dvurečenskij

Publication date: 1988

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

inner product spacesplitting subspaceorthonormal vectorscompletely additive state

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (9)

Gleason's theorem and completeness criteria ⋮ Unnamed Item ⋮ States on families of subspaces of pre-Hilbert spaces ⋮ A signed measure completeness criterion ⋮ Lattice properties of subspace families in an inner product space ⋮ Bibliography on quantum logics and related structures ⋮ Quantum logics and completeness criteria of inner product spaces ⋮ Regular measures and inner product spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completeness of inner product spaces with respect to splitting subspaces
• Completeness of inner product spaces and quantum logic of splitting subspaces
• Gleason's theorem and completeness of inner product spaces
• On the definition of Hilbert space
• A Completeness Criterion for Inner Product Spaces
• Probability in physics and a theorem on simultaneous observability
• Inner Product Spaces
• A remark on Piron's paper

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