Linear orthosets and orthogeometries

DOI10.1007/s10773-023-05282-3zbMath1527.81001MaRDI QIDQ6103932

Thomas Vetterlein, Jan Paseka

Publication date: 27 June 2023

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

zbMATH Keywords

orthogonality spaceHermitian spaceorthosetorthogeometry

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General and philosophical questions in quantum theory (81P05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Congruence and orthogonality in metric geometry (51F20)

Related Items (1)

Finitary prelinear and linear orthosets

Cites Work

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• Orthogonality and dimensionality
• Orthomodular lattices and quadratic spaces: A survey
• Gradual transitivity in orthogonality spaces of finite rank
• Transitivity and homogeneity of orthosets and inner-product spaces over subfields of \(\mathbb{R}\)
• Categories of orthogonality spaces
• Normal orthogonality spaces
• Atomic orthocomplemented lattices
• On Characterizing the Standard Quantum Logics
• Orthogonality spaces and atomistic orthocomplemented lattices
• Characterization of hilbert spaces by orthomodular spaces
• Symmetric Quantum Sets and L-Algebras

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