A new algebraic criterion for completeness of inner product spaces

DOI10.1023/A:1014500410095zbMath1005.46012OpenAlexW193507912MaRDI QIDQ1599559

Anatolij Dvurečenskij

Publication date: 11 June 2002

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

Full work available at URL: https://doi.org/10.1023/a:1014500410095

zbMATH Keywords

inner product spacecompletesplitting subspacesorthogonally closed subspaceRiesz interpolation property

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

Unnamed Item ⋮ Recent progress on pre-Hilbert-space logics and their measure spaces ⋮ Pre-Hilbert spaces with anomalous splitting and orthogonally-closed subspace structures

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