Orthogonality spaces arising from infinite-dimensional complex Hilbert spaces

DOI10.1007/s10773-019-04230-4zbMath1503.46020OpenAlexW3012422140MaRDI QIDQ2239400

Thomas Vetterlein

Publication date: 5 November 2021

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

Full work available at URL: https://doi.org/10.1007/s10773-019-04230-4

zbMATH Keywords

orthomodular latticecomplex Hilbert spaceorthogonality space

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)

Related Items (5)

Orthosystems of submodules of a module ⋮ Normal orthogonality spaces ⋮ Gradual transitivity in orthogonality spaces of finite rank ⋮ Ortho-sets and Gelfand spectra ⋮ Quantum monadic algebras

Cites Work

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• On Characterizing the Standard Quantum Logics
• Characterization of hilbert spaces by orthomodular spaces
• Orthomodularity in infinite dimensions; a theorem of M. Solèr
• Orthogonality spaces of finite rank and the complex Hilbert spaces

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