Characterization of projection lattices of Hilbert spaces

DOI10.1007/BF00668822zbMath0618.03033MaRDI QIDQ1088985

Horst Szambien

Publication date: 1986

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

zbMATH Keywords

lattice of projectionslattice coordinatizationtopology of states

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum logic (03G12) Topological lattices (06B30) Topological linear incidence structures (51H10)

Related Items (2)

Quantum logics and Hilbert space ⋮ Bibliography on quantum logics and related structures

Cites Work

• Axioms for non-relativistic quantum mechanics
• On the lattice of closed subspaces of Hilbert spaces
• Topologische projektive Räume
• Zum Begriff des topologischen projektiven Raumes
• Über den Zusammenhang in topologischen projektiven Ebenen
• On Characterizing the Standard Quantum Logics
• Quantum Mechanics and Hilbert Space
• Sur les espaces projectifs topologiques
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