A characterisation of orthomodular spaces by Sasaki maps

DOI10.1007/s10773-022-05261-0arXiv2207.09148MaRDI QIDQ6103935

Bert Lindenhovius, Thomas Vetterlein

Publication date: 27 June 2023

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

Full work available at URL: https://arxiv.org/abs/2207.09148

zbMATH Keywords

Hilbert spaceSasaki projectionorthoset

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Cites Work

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• Characterization of hilbert spaces by orthomodular spaces
• Orthogonality spaces of finite rank and the complex Hilbert spaces
• Sasaki projections on orthocomplemented posets
• A remark on Piron's paper
• Baer ∗ -Semigroups

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